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The LCM of 16, 45, 135 and 144 is:
Question

The LCM of 16, 45, 135 and 144 is:

A.

2132

B.

2080

C.

2160

D.

2191

Correct option is C

Given:

Numbers = 16, 45, 135, 144

Solution:

Prime factorization:

16 = 242^4​​

45 = 32×53^2 \times 5​​

135 = 33×53^3 \times 5​​

144 = 24×322^4 \times 3^2​​

So, 

LCM = 24×33×5 2^4 \times 3^3 \times 5​​

16×27×516 \times 27 \times 5 ​​

= 2160

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