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The LCM of 46, 68, 136 and 138 is:
Question

The LCM of 46, 68, 136 and 138 is:

A.

9329

B.

9455

C.

9384

D.

9406

Correct option is C

Formula Used:
LCM (Least Common Multiple) is the smallest number divisible by all given values.
Prime factorization method is used to determine LCM.
Solution:
Prime factorization of 46 = 2 × 23
Prime factorization of 68 = 22 × 17
Prime factorization of 136 = 23 × 17
Prime factorization of 138 = 2 × 3 × 23
LCM = 23 × 3 × 17 × 23 = 8 × 3 × 17 × 23 = 9384

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