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The LCM of 75, 45, 180 and 110 is:
Question

The LCM of 75, 45, 180 and 110 is:

A.

9817

B.

9856

C.

9946

D.

9900

Correct option is D

Given:
The numbers are 75, 45, 180, and 110.
Formula Used:
The Least Common Multiple (LCM) can be found using prime factorization:
Solution:
Prime factorization of 75 = 3 × 5²
Prime factorization of 45= 3² × 5
Prime factorization of 180 = 2² × 3² × 5
Prime factorization of 110 = 2 × 5 × 11
LCM = 2² × 3² × 5² × 11 = 9900
Thus, the LCM of 75, 45, 180, and 110 is 9900.

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