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What is the least common multiple (LCM) of 336, 528, and 240?
Question

What is the least common multiple (LCM) of 336, 528, and 240?

A.

16620

B.

17240

C.

19200

D.

18480

Correct option is D

Given:
Find the Least Common Multiple (LCM) of the numbers: 336, 528, and 240.
Formula Used:
LCM (Least Common Multiple) of given numbers is the product of the highest powers of all prime factors involved.
Solution:
Prime factorization of each number:
336 = 2⁴ × 3 × 7
528 = 2⁴ × 3 × 11
240 = 2⁴ × 3 × 5
Take the highest powers of all prime factors:
LCM = 2⁴ × 3 × 5 × 7 × 11 = 18480


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