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AP Board Class 6 Maths Chapter 3 HCF and LCM Ex 3.6 Textbook Solutions PDF: Download Andhra Pradesh Board STD 6th Maths Chapter 3 HCF and LCM Ex 3.6 Book Answers |
Andhra Pradesh Board Class 6th Maths Chapter 3 HCF and LCM Ex 3.6 Textbooks Solutions PDF
Andhra Pradesh State Board STD 6th Maths Chapter 3 HCF and LCM Ex 3.6 Books Solutions with Answers are prepared and published by the Andhra Pradesh Board Publishers. It is an autonomous organization to advise and assist qualitative improvements in school education. If you are in search of AP Board Class 6th Maths Chapter 3 HCF and LCM Ex 3.6 Books Answers Solutions, then you are in the right place. Here is a complete hub of Andhra Pradesh State Board Class 6th Maths Chapter 3 HCF and LCM Ex 3.6 solutions that are available here for free PDF downloads to help students for their adequate preparation. You can find all the subjects of Andhra Pradesh Board STD 6th Maths Chapter 3 HCF and LCM Ex 3.6 Textbooks. These Andhra Pradesh State Board Class 6th Maths Chapter 3 HCF and LCM Ex 3.6 Textbooks Solutions English PDF will be helpful for effective education, and a maximum number of questions in exams are chosen from Andhra Pradesh Board.Andhra Pradesh State Board Class 6th Maths Chapter 3 HCF and LCM Ex 3.6 Books Solutions
Board | AP Board |
Materials | Textbook Solutions/Guide |
Format | DOC/PDF |
Class | 6th |
Subject | Maths |
Chapters | Maths Chapter 3 HCF and LCM Ex 3.6 |
Provider | Hsslive |
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AP Board Class 6th Maths Chapter 3 HCF and LCM Ex 3.6 Textbooks Solutions with Answer PDF Download
Find below the list of all AP Board Class 6th Maths Chapter 3 HCF and LCM Ex 3.6 Textbook Solutions for PDF’s for you to download and prepare for the upcoming exams:Question 1.
Find the LCM of the following numbers by prime factorization method.
i) 12 and 15
ii) 15 and 25
iii) 14 and 21
Answer:
i) 12 and 15
To find the LCM of 12 and 15.
First find the factors of 12,15 and then find the common factors of 12 and 15.
12 = 2 x 2 x 3; 15 = 3 x 5
Prime factorization of 12 = 2 x 2 x 3
Prime factorization of 15 = 3 x 5
Common Factors of 12, 15 = 3
Extra factors of 12 and 15 = 2 x 2 x 5
∴ LCM of 12 and 15 = Common factor x extra factors
= 3 x 2 x 2 x 5 = 60
Hence the LCM of 12 and 15 is 60.
ii) 15 and 25
To find the LCM of 15 and 25.
First find the factors of 15, 25 and then find the common factors of 15 and 25.
Prime factorization of 15 = 3 x 5
Prime factorization of 25 = 5 x 5
Common factors of 15, 25 = 5
Extra factors of 15 and 25 = 3 x 5
∴ LCM of 15 and 25 = Common factor x extra factors
= 5 x 3 x 5 = 75
Hence the LCM of 15 and 25 is 75.
iii) 14 and 21
To find the LCM of 14 and 21.
First find the factors of 14, 21 and then find the common factors of 14 and 21.
Prime factorization of 14 = 2 x 7
Prime factorization of 21 = 3 x 7
Common factors of 14, 21 = 7
Extra factors of 14 and 21 = 2 x 3
LCM of 14 and 21 = Common factor x extra factors
= 7 x 2 x 3 = 42
Hence the LCM of 14 and 21 is 42.
Question 2.
Find the LCM of the following numbers by division method.
i) 84, 112, 196
ii) 102, 119, 153
iii) 45, 99, 132, 165
Answer:
i) 84,112,196
∴ Thus, the LCM of 84, 112 and 196 is
2 x 2 x 2 x 2 x 3 x 7 x 7 = 2352
ii) 102, 119, 153
Thus, the LCM of 102,119 and 153 is
2 x 3 x 3 x 7 x 17 = 2142
iii) 45, 99, 132, 165
Thus, the LCM of 45, 99, 132 and 165 is
2 x 2 x 3 x 3 x 5 x 11 = 1980
Question 3.
Find the smallest number which when added to 5 is exactly divisible by 12,14 and 18.
Answer:
To find the number exactly divisible by 12, 14 and 18.
We have to find the LCM of 12, 14 and 18.
LCM of 12, 14 and 18 is 2 x 2 x 3 x 3 x 7 = 252
To get the smallest number we have to subtract 5 to the LCM of 12, 14 and 18 i.e., 252 – 5 = 247
Therefore, the smallest number which when added to 5 is exactly divisible by 12, 14 and 18 is 247.
Question 4.
Find the greatest 3 digit number which when divided by 75, 45 and 60 leaves
i) No remainder
ii) The remainder 4 in each case.
Answer:
i) To find the number exactly divisible (No remainder) by 75, 45 and 60.
We have to find the LCM of 75, 45 and 60.
LCM of 75, 45 and 60 is 900.
So, 990 is the greatest 3 – digit number which is exactly i divisible by the 75, 45 and 60.
ii) To get the remainder 4 when we divide the greatest 3 – digit number by 75, 45 and 60.
We have to add 4 to the greatest 3 – digit number, which is exactly divisible by 75, 45 and 60.
By adding 4 to 900 we get 904 (900 + 4)
Therefore, the greatest 3 – digit number divisible by 75, 45 and 60 by leaving remainder 4 is 994.
Question 5.
Two bells ring together. If the bells ring at every 3 minutes and 4 minutes respec-tively, at what interval of time, will they ring together again?
Answer:
Time interval for the first bell = 3 minutes
Time interval for the second bell = 4 minutes
Time interval for the bells together = LCM of 3 and 4
= 2 x 2 x 3 = 12 minutes
After 12 minutes the two bells again ring together.
AP Board Textbook Solutions PDF for Class 6th Maths
- AP Board Class 6
- AP Board Class 6 Maths
- AP Board Class 6 Maths Chapter 1 Numbers All Around us Ex 1.1
- AP Board Class 6 Maths Chapter 1 Numbers All Around us Ex 1.2
- AP Board Class 6 Maths Chapter 1 Numbers All Around us Ex 1.3
- AP Board Class 6 Maths Chapter 1 Numbers All Around us Ex 1.4
- AP Board Class 6 Maths Chapter 1 Numbers All Around us Unit Exercise
- AP Board Class 6 Maths Chapter 1 Numbers All Around us InText Questions
- AP Board Class 6 Maths Chapter 2 Whole Numbers Ex 2.1
- AP Board Class 6 Maths Chapter 2 Whole Numbers Ex 2.2
- AP Board Class 6 Maths Chapter 2 Whole Numbers Ex 2.3
- AP Board Class 6 Maths Chapter 2 Whole Numbers Unit Exercise
- AP Board Class 6 Maths Chapter 2 Whole Numbers InText Questions
- AP Board Class 6 Maths Chapter 3 HCF and LCM Ex 3.1
- AP Board Class 6 Maths Chapter 3 HCF and LCM Ex 3.2
- AP Board Class 6 Maths Chapter 3 HCF and LCM Ex 3.3
- AP Board Class 6 Maths Chapter 3 HCF and LCM Ex 3.4
- AP Board Class 6 Maths Chapter 3 HCF and LCM Ex 3.5
- AP Board Class 6 Maths Chapter 3 HCF and LCM Ex 3.6
- AP Board Class 6 Maths Chapter 3 HCF and LCM Ex 3.7
- AP Board Class 6 Maths Chapter 3 HCF and LCM Unit Exercise
- AP Board Class 6 Maths Chapter 3 HCF and LCM InText Questions
- AP Board Class 6 Maths Chapter 4 Integers Ex 4.1
- AP Board Class 6 Maths Chapter 4 Integers Ex 4.2
- AP Board Class 6 Maths Chapter 4 Integers Ex 4.3
- AP Board Class 6 Maths Chapter 4 Integers Ex 4.4
- AP Board Class 6 Maths Chapter 4 Integers Unit Exercise
- AP Board Class 6 Maths Chapter 4 Integers InText Questions
- AP Board Class 6 Maths Chapter 5 Fractions and Decimals Ex 5.1
- AP Board Class 6 Maths Chapter 5 Fractions and Decimals Ex 5.2
- AP Board Class 6 Maths Chapter 5 Fractions and Decimals Ex 5.3
- AP Board Class 6 Maths Chapter 5 Fractions and Decimals Ex 5.4
- AP Board Class 6 Maths Chapter 5 Fractions and Decimals Ex 5.5
- AP Board Class 6 Maths Chapter 5 Fractions and Decimals Unit Exercise
- AP Board Class 6 Maths Chapter 5 Fractions and Decimals InText Questions
- AP Board Class 6 Maths Chapter 6 Basic Arithmetic Ex 6.1
- AP Board Class 6 Maths Chapter 6 Basic Arithmetic Ex 6.2
- AP Board Class 6 Maths Chapter 6 Basic Arithmetic Ex 6.3
- AP Board Class 6 Maths Chapter 6 Basic Arithmetic Ex 6.4
- AP Board Class 6 Maths Chapter 6 Basic Arithmetic Unit Exercise
- AP Board Class 6 Maths Chapter 6 Basic Arithmetic InText Questions
- AP Board Class 6 Maths Chapter 7 Introduction to Algebra Ex 7.1
- AP Board Class 6 Maths Chapter 7 Introduction to Algebra Ex 7.2
- AP Board Class 6 Maths Chapter 7 Introduction to Algebra Ex 7.3
- AP Board Class 6 Maths Chapter 7 Introduction to Algebra Unit Exercise
- AP Board Class 6 Maths Chapter 7 Introduction to Algebra InText Questions
- AP Board Class 6 Maths Chapter 8 Basic Geometric Concepts Ex 8.1
- AP Board Class 6 Maths Chapter 8 Basic Geometric Concepts Ex 8.2
- AP Board Class 6 Maths Chapter 8 Basic Geometric Concepts Ex 8.3
- AP Board Class 6 Maths Chapter 8 Basic Geometric Concepts Ex 8.4
- AP Board Class 6 Maths Chapter 8 Basic Geometric Concepts Unit Exercise
- AP Board Class 6 Maths Chapter 8 Basic Geometric Concepts InText Questions
- AP Board Class 6 Maths Chapter 9 2D-3D Shapes Ex 9.1
- AP Board Class 6 Maths Chapter 9 2D-3D Shapes Ex 9.2
- AP Board Class 6 Maths Chapter 9 2D-3D Shapes Ex 9.3
- AP Board Class 6 Maths Chapter 9 2D-3D Shapes Ex 9.4
- AP Board Class 6 Maths Chapter 9 2D-3D Shapes Unit Exercise
- AP Board Class 6 Maths Chapter 9 2D-3D Shapes InText Questions
- AP Board Class 6 Maths Chapter 10 Practical Geometry Ex 10.1
- AP Board Class 6 Maths Chapter 10 Practical Geometry Ex 10.2
- AP Board Class 6 Maths Chapter 10 Practical Geometry Ex 10.3
- AP Board Class 6 Maths Chapter 10 Practical Geometry Ex 10.4
- AP Board Class 6 Maths Chapter 10 Practical Geometry Unit Exercise
- AP Board Class 6 Maths Chapter 10 Practical Geometry InText Questions
- AP Board Class 6 Maths Chapter 11 Perimeter and Area Ex 11.1
- AP Board Class 6 Maths Chapter 11 Perimeter and Area Ex 11.2
- AP Board Class 6 Maths Chapter 11 Perimeter and Area Ex 11.3
- AP Board Class 6 Maths Chapter 11 Perimeter and Area Unit Exercise
- AP Board Class 6 Maths Chapter 11 Perimeter and Area InText Questions
- AP Board Class 6 Maths Chapter 12 Data Handling Ex 12.1
- AP Board Class 6 Maths Chapter 12 Data Handling Ex 12.2
- AP Board Class 6 Maths Chapter 12 Data Handling Ex 12.3
- AP Board Class 6 Maths Chapter 12 Data Handling Unit Exercise
- AP Board Class 6 Maths Chapter 12 Data Handling InText Questions
- AP Board Class 6 Maths Chapter 1 మన చుట్టూ ఉండే సంఖ్యలు Ex 1.1
- AP Board Class 6 Maths Chapter 1 మన చుట్టూ ఉండే సంఖ్యలు Ex 1.2
- AP Board Class 6 Maths Chapter 1 మన చుట్టూ ఉండే సంఖ్యలు Ex 1.3
- AP Board Class 6 Maths Chapter 1 మన చుట్టూ ఉండే సంఖ్యలు Ex 1.4
- AP Board Class 6 Maths Chapter 1 మన చుట్టూ ఉండే సంఖ్యలు Unit Exercise
- AP Board Class 6 Maths Chapter 1 మన చుట్టూ ఉండే సంఖ్యలు InText Questions
- AP Board Class 6 Maths Chapter 2 పూర్ణాంకాలు Ex 2.1
- AP Board Class 6 Maths Chapter 2 పూర్ణాంకాలు Ex 2.2
- AP Board Class 6 Maths Chapter 2 పూర్ణాంకాలు Ex 2.3
- AP Board Class 6 Maths Chapter 2 పూర్ణాంకాలు Unit Exercise
- AP Board Class 6 Maths Chapter 2 పూర్ణాంకాలు InText Questions
- AP Board Class 6 Maths Chapter 3 గ.సా.కా – క.సా.గు Ex 3.1
- AP Board Class 6 Maths Chapter 3 గ.సా.కా – క.సా.గు Ex 3.2
- AP Board Class 6 Maths Chapter 3 గ.సా.కా – క.సా.గు Ex 3.3
- AP Board Class 6 Maths Chapter 3 గ.సా.కా – క.సా.గు Ex 3.4
- AP Board Class 6 Maths Chapter 3 గ.సా.కా – క.సా.గు Ex 3.5
- AP Board Class 6 Maths Chapter 3 గ.సా.కా – క.సా.గు Ex 3.6
- AP Board Class 6 Maths Chapter 3 గ.సా.కా – క.సా.గు Ex 3.7
- AP Board Class 6 Maths Chapter 3 గ.సా.కా – క.సా.గు Unit Exercise
- AP Board Class 6 Maths Chapter 3 గ.సా.కా – క.సా.గు InText Questions
- AP Board Class 6 Maths Chapter 4 పూర్ణసంఖ్యలు Ex 4.1
- AP Board Class 6 Maths Chapter 4 పూర్ణసంఖ్యలు Ex 4.2
- AP Board Class 6 Maths Chapter 4 పూర్ణసంఖ్యలు Ex 4.3
- AP Board Class 6 Maths Chapter 4 పూర్ణసంఖ్యలు Ex 4.4
- AP Board Class 6 Maths Chapter 4 పూర్ణసంఖ్యలు Unit Exercise
- AP Board Class 6 Maths Chapter 4 పూర్ణసంఖ్యలు InText Questions
- AP Board Class 6 Maths Chapter 5 భిన్నాలు – దశాంశ భిన్నాలుs Ex 5.1
- AP Board Class 6 Maths Chapter 5 భిన్నాలు – దశాంశ భిన్నాలు Ex 5.2
- AP Board Class 6 Maths Chapter 5 భిన్నాలు – దశాంశ భిన్నాలు Ex 5.3
- AP Board Class 6 Maths Chapter 5 భిన్నాలు – దశాంశ భిన్నాలు Ex 5.4
- AP Board Class 6 Maths Chapter 5 భిన్నాలు – దశాంశ భిన్నాలు Ex 5.5
- AP Board Class 6 Maths Chapter 5 భిన్నాలు – దశాంశ భిన్నాలు Unit Exercise
- AP Board Class 6 Maths Chapter 5 భిన్నాలు – దశాంశ భిన్నాలు InText Questions
- AP Board Class 6 Maths Chapter 6 ప్రాథమిక అంకగణితం Ex 6.1
- AP Board Class 6 Maths Chapter 6 ప్రాథమిక అంకగణితం Ex 6.2
- AP Board Class 6 Maths Chapter 6 ప్రాథమిక అంకగణితం Ex 6.3
- AP Board Class 6 Maths Chapter 6 ప్రాథమిక అంకగణితం Ex 6.4
- AP Board Class 6 Maths Chapter 6 ప్రాథమిక అంకగణితం Unit Exercise
- AP Board Class 6 Maths Chapter 6 ప్రాథమిక అంకగణితం InText Questions
- AP Board Class 6 Maths Chapter 7 బీజ గణిత పరిచయం Ex 7.1
- AP Board Class 6 Maths Chapter 7 బీజ గణిత పరిచయం Ex 7.2
- AP Board Class 6 Maths Chapter 7 బీజ గణిత పరిచయం Ex 7.3
- AP Board Class 6 Maths Chapter 7 బీజ గణిత పరిచయం Unit Exercise
- AP Board Class 6 Maths Chapter 7 బీజ గణిత పరిచయం InText Questions
- AP Board Class 6 Maths Chapter 8 జ్యామితీయ భావనలు Ex 8.1
- AP Board Class 6 Maths Chapter 8 జ్యామితీయ భావనలు Ex 8.2
- AP Board Class 6 Maths Chapter 8 జ్యామితీయ భావనలు Ex 8.3
- AP Board Class 6 Maths Chapter 8 జ్యామితీయ భావనలు Ex 8.4
- AP Board Class 6 Maths Chapter 8 జ్యామితీయ భావనలు Unit Exercise
- AP Board Class 6 Maths Chapter 8 జ్యామితీయ భావనలు InText Questions
- AP Board Class 6 Maths Chapter 9 ద్విమితీయ – త్రిమితీయ ఆకారాలు Ex 9.1
- AP Board Class 6 Maths Chapter 9 ద్విమితీయ – త్రిమితీయ ఆకారాలు Ex 9.2
- AP Board Class 6 Maths Chapter 9 ద్విమితీయ – త్రిమితీయ ఆకారాలు Ex 9.3
- AP Board Class 6 Maths Chapter 9 ద్విమితీయ – త్రిమితీయ ఆకారాలు Ex 9.4
- AP Board Class 6 Maths Chapter 9 ద్విమితీయ – త్రిమితీయ ఆకారాలు Unit Exercise
- AP Board Class 6 Maths Chapter 9 ద్విమితీయ – త్రిమితీయ ఆకారాలు InText Questions
- AP Board Class 6 Maths Chapter 10 ప్రాయోజిక జ్యామితి Ex 10.1
- AP Board Class 6 Maths Chapter 10 ప్రాయోజిక జ్యామితి Ex 10.2
- AP Board Class 6 Maths Chapter 10 ప్రాయోజిక జ్యామితి Ex 10.3
- AP Board Class 6 Maths Chapter 10 ప్రాయోజిక జ్యామితి Ex 10.4
- AP Board Class 6 Maths Chapter 10 ప్రాయోజిక జ్యామితి Unit Exercise
- AP Board Class 6 Maths Chapter 10 ప్రాయోజిక జ్యామితి InText Questions
- AP Board Class 6 Maths Chapter 11 చుట్టుకొలత – వైశాల్యం Ex 11.1
- AP Board Class 6 Maths Chapter 11 చుట్టుకొలత – వైశాల్యం Ex 11.2
- AP Board Class 6 Maths Chapter 11 చుట్టుకొలత – వైశాల్యం Unit Exercise
- AP Board Class 6 Maths Chapter 11 చుట్టుకొలత – వైశాల్యం InText Questions
- AP Board Class 6 Maths Chapter 12 దత్తాంశ నిర్వహణ Ex 12.1
- AP Board Class 6 Maths Chapter 12 దత్తాంశ నిర్వహణ Ex 12.2
- AP Board Class 6 Maths Chapter 12 దత్తాంశ నిర్వహణ Ex 12.3
- AP Board Class 6 Maths Chapter 12 దత్తాంశ నిర్వహణ Unit Exercise
- AP Board Class 6 Maths Chapter 12 దత్తాంశ నిర్వహణ InText Questions
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