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Last updated at Jan. 3, 2019 by Teachoo

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Example 14 Find the least number which when divided by 12, 16, 24 and 36 leaves a remainder 7 in each case. Least number when divided by 12, 16, 24, 36 & leaves remainder 0 = LCM of 12, 16, 24, 36 So, LCM leaves remainder 0 Now, in the question We are asked smallest number which leaves remainder 7 So, Required number will be 7 more than LCM ∴ Required number = LCM + 7 Finding LCM of 12, 16, 24, 36 ∴ LCM = 2 × 2 × 2 × 2 × 3 × 3 = 16 × 9 = 144 So, Required Number = LCM + 7 = 144 + 7 = 151

Statement questions on LCM

How to check if LCM is to be found or HCF

What is the smallest number when divided by numbers 2, 4, 6 gives remainder 0?

What is the smallest number when divided by numbers 2, 4, 6 gives remainder 7?

Example 14 Important You are here

Ex 3.7, 8

Ex 3.7, 4

Ex 3.7, 9 Important

Ex 3.7, 5

Example 13

What will be the smallest 3-digit number which divides 2, 4, 6 and leaves remainder 0?

Ex 3.7, 2

Ex 3.7, 6 Important

What will be the greatest 3-digit number which divides 2, 4, 6 and leaves remainder 0?

Chapter 3 Class 6 Playing with Numbers

Concept wise

- Factors and Multiples
- Perfect number
- Prime and Composite Numbers
- Sum of prime numbers
- Prime numbers from 1 to 100
- Divisibility Tests - Divisibility by 5, 10, 2
- Divisibility Tests - Divisibility by 4, 8
- Divisibility Tests - Divisibility by 3, 6, 9
- Divisibility Tests - Divisibility by 11
- Divisibility Tests - All
- Common Multiples
- Common Factors
- More Divisibility Rules
- Factor Tree
- Prime Factorisation
- Highest Common Factor
- Lowest Common Multiple
- Statement questions on LCM
- Statement questions on HCF

About the Author

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.