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Find the LCM of 20, 120 and 60.
Question

Find the LCM of 20, 120 and 60.

A.

100

B.

60

C.

80

D.

120

Correct option is D

Given:

The numbers are 20, 120, and 60.

Solution:

Find the prime factorization of each number:

20 = 22×52^2 \times 5​​

120 = 23×3×52^3 \times 3 \times 5​​

60 = 22×3×52^2 \times 3 \times 5​​

Multiply the highest powers of all primes:

LCM = 23×31×51=8×3×52^3 \times 3^1 \times 5^1 = 8 \times 3 \times 5 = 120

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