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The LCM of 144, 180 and 384 is:
Question

The LCM of 144, 180 and 384 is:

A.

5760

B.

3760

C.

5560

D.

1760

Correct option is A

Solution:

The LCM of 144, 180 and 384 

144=24×32180=22×32×5384=27×3LCM=27×32×5=5760 144 = 2^ 4 \times 3^ 2 \\ 180 = 2^ 2 \times 3^2 \times 5 \\ 384 = 2^ 7 \times 3 \\\text{LCM} = 2^ 7 \times 3^ 2 \times 5 = 5760​​

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