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The LCM of 18, 72, 184 and 144 is:
Question

The LCM of 18, 72, 184 and 144 is:

A.

3388

B.

3351

C.

3312

D.

3220

Correct option is C

Given:

Numbers = 18, 72, 184, 144

Formula Used:

LCM = Product of highest powers of all prime factors involved in any of the numbers.

Solution:

Prime Factorization

18 = 2×32 2 \times 3^2​​

72 = 23×322^3 \times 3^2​​

184 = 23×23 2^3 \times 23​​

144 = 24×322^4 \times 3^2​​

LCM = 24×32×23=16×9×23=3312 2^4 \times 3^2 \times 23 = 16 \times 9 \times 23 = 3312​​

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