# Find the first three common multiples of:

# (a) 6 and 8 (b) 12 and 18

Common multiples of any two numbers are the multiples that are common to both the given numbers.

## Answer: The first three common multiples of 6 and 8 are 24, 48, and 72. And, the first three common multiples of 12 and 18 are 36, 72, and 108.

Let's evaluate the common multiples of the given numbers.

**Explanation:**

To find the common multiples of given numbers, find the LCM of those numbers.

The multiples of the LCM will be the common multiples of those numbers.

(a) Prime Factorization of 6 : 2 × 3

Prime Factorization of 8 : 2 × 2 × 2

LCM (6, 8) = 2 × 2 × 2 × 3 = 24

The first three multiples of 24 are 24, 48, and 72.

So, the first three common multiples of 6 and 8 are 24, 48, and 72.

(b) Prime Factorization of 12 : 2 × 2 × 3

Prime Factorization of 18 : 2 × 3 × 3

LCM (12, 18) = 2 × 2 × 3 × 3 = 36

The first three multiples of 36 are 36, 72, and 108.

So, the first three common multiples of 12 and 18 are 36, 72, and 108.

### Thus, the first three common multiples of 6 and 8 are 24, 48, and 72, and the first three common multiples of 12 and 18 are 36, 72, and 108.

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