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The LCM of 42, 36, 312 and 126 is:
Question

The LCM of 42, 36, 312 and 126 is:

A.

6587

B.

6616

C.

6520

D.

6552

Correct option is D

Formula Used:
LCM = The smallest number that is a multiple of all given numbers.
Solution:
Prime factorization of 42 = 2 × 3 × 7
Prime factorization of 36 = 22×322^2 × 3^2​​
Prime factorization of 312 = 232^3​ × 3 × 13
Prime factorization of 126 = 2 × 323^2​ × 7
 LCM = 23×322^3 × 3^2​ × 7 × 13  = 8 × 9 × 7 × 13 = 6552


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