Question

find first three common multiples of
a) 6 and 8
b) 12 and 18

plz tell answer ​

Answer 1

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.

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Step-by-step explanation:

(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.