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What is the LCM of 22 , 24 , 48 and 16
Question

What is the LCM of 22 , 24 , 48 and 16

A.

48

B.

176

C.

528

D.

64

Correct option is C

Given:

Numbers: 22, 24, 48, and 16.

Solution:

Prime factorization of each number:

22 = 2 ×\times 11

24 = 232^3 ×\times 3

48 = 242^4 ×\times 3

16 = 242^4 

​LCM = 24×3×112^4 \times 3 \times 11 

LCM = 16×3×1116 \times 3 \times 11 

LCM = 528 

The least common multiple (LCM) of 22, 24, 48, and 16 is 528.

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