# Common Multiples | Definition & Examples

Common multiples are those multiple which are multiple of all the given numbers.

### Finding Common Multiples

Find first two common multiples of:

#### Example 1

3 and 6

Explanation

Multiples of 3 are 3, 6, 9, 12, 15, …….
Multiples of 6 are 6, 12, 18, 24, 30, ……..
So, the first two common multiples are 6 and 12

Example 2

4 and 6

Explanation

Multiples of 4 are 4 , 8 , 12 , 16 , 20 , 24 , 28 , ……..
Multiples of 6 are 6, 12, 18, 24, 30, ……..
So, the first two common multiples are 12 and 24

Example 3

2 and 8

Explanation

Multiples of 2 are 2 , 4 , 6 , 8 , 10 , 12 , 14 , 16 , 18 , ……..
Multiples of 8 are 8 , 16 , 24 , 32 , 40 , ……..
So, the first two common multiples are 8 and 16

Example 4

5 and 10

Explanation

Multiples of 5 are 5 , 10 , 15 , 20 , 25 , 30 , 35 , ……..
Multiples of 10 are 10 , 20 , 30 , 40 , 50 , ……..
So, the first two common multiples are 10 and 20

Example 5

5 and 10

Explanation

Multiples of 5 are 5 , 10 , 15 , 20 , 25 , 30 , 35 , ……..
Multiples of 10 are 10 , 20 , 30 , 40 , 50 , ……..
So, the first two common multiples are 10 and 20

Example 6

4 and 8

Explanation

Multiples of 4 are 4 , 8 , 12 , 16 , 20 , …….
Multiples of 8 are 8 , 16 , 24 , 32 , 40 , ……..
So, the first two common multiples are 8 and 16

Example 7

3 and 9

Explanation

Multiples of 3 are 3 , 6 , 9 , 12 , 15 , 18 , 21 , ……..
Multiples of 9 are 9 , 18 , 27 , 36 , 45 , ……..
So, the first two common multiples are 9 and 18