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LCM of 14, 21, 25 and 70 is:
Question

LCM of 14, 21, 25 and 70 is:

A.

105

B.

75

C.

210

D.

1050

Correct option is D

Given:

​LCM of 14, 21, 25, and 70

Solution :

To find the LCM of 14, 21, 25, and 70, we first find the prime factorization of each number:

14 = 2 × 7

21 = 3 × 7

25 = 5²

70 = 2 × 5 × 7

The LCM is the product of the highest powers of all prime factors that appear in the factorizations:

LCM = 2 × 3 × 5² × 7 = 2 × 3 × 25 × 7 = 1050

Therefore, the LCM of 14, 21, 25, and 70 is 1050.

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