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E:\Working\Orange_Education\TouchPad_Maths-5\Open file\Maths_5_Chapter-03
\ 19-Nov-2025 Bharat Arora Proof-9 Reader’s Sign _______________________ Date __________

 The product of two numbers is called their multiple, and the numbers are called
the factors of the product.
 The greatest common factor of two or more numbers is their HCF.

 The smallest common multiple of two or more numbers is their LCM.
 For any two given numbers, HCF × LCM = Product of the two numbers.

Learning LOGS

1. Find the:
a. 7th multiple of 5 b. 9th multiple of 12 c. 12th multiple of 9

2. Find the multiples of 12 between 50 and 80.

3. Find the factors of:
a. 26 b. 36 c. 90 d. 120

4. Find two common multiples of the following pairs of numbers.

a. 4 and 5 b. 9 and 12 c. 12 and 15

5. Find the common factors of the following pairs of numbers.

a. 20 and 30 b. 24 and 36 c. 42 and 54
6. Find the lCM and HCF of:

a. 30 and 45 b. 12 and 18 c. 21, 28 and 35

7. The HCF and LCM of two numbers are 3 and 45 respectively. If one number is 9, find
the other number.
8. Two drums contain 20 litres and 36 litres of petrol, respectively. Find the maximum
capacity of a container that can measure the petrol from both drums exactly, leaving
no petrol in either.
9. The product of two numbers is 56 and their HCF is 2. Find the LCM of these numbers.

10. The product of two numbers is 1008 and their LCM is 168. Find the HCF of these
numbers.

80 Mathematics 5