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Find the LCM of 12, 40, 50 and 78.
Question

Find the LCM of 12, 40, 50 and 78.

A.

7800

B.

9200

C.

15600

D.

3900

Correct option is A

Given:

We need to find the Least Common Multiple (LCM) of 12, 40, 50, and 78.

Solution:

Prime factorizations:

12 = 22×32^2 \times 3​​

40 = 23×52^3 \times 5​​

50 = 2×522 \times 5^2​​

78 = 2×3×132 \times 3 \times 13​​

LCM = 23×3×52×13 2^3 \times 3 \times 5^2 \times 13​​

=8×3×25×13= 8 \times 3 \times 25 \times 13​​

= 7800

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