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What is the least number which is divisible by 8, 12 and 18?
Question

What is the least number which is divisible by 8, 12 and 18?

A.

72

B.

96

C.

108

D.

144

Correct option is A

Given:
The numbers are 8, 12, and 18.
Formula Used:
The least number divisible by a given set of numbers is their Lowest Common Multiple (LCM).
Solution:
Prime factorization of 8 = 23 2^{3}​​
Prime factorization of 12 = 22×3 2^{2} × 3​​
Prime factorization of 18 = 2×322 × 3^{2}​​
LCM = Highest powers of all prime factors involved
LCM = 23×32=8×9=72 2^{3} × 3^{2} = 8 × 9 = 72​​
Final Answer
So the correct answer is (a)

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