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Find the smallest three-digit number that is exactly divisible by 12, 15 and 24.
Question

Find the smallest three-digit number that is exactly divisible by 12, 15 and 24.

A.

360

B.

120

C.

180

D.

240

Correct option is B

Given:
​We need to find the smallest three-digit number that is divisible by 12, 15, and 24.
Concept Used:
To find a number that is divisible by multiple numbers, we calculate the LCM (Least Common Multiple) of those numbers. The smallest three-digit number divisible by 12, 15, and 24 will be the smallest multiple of their LCM that is a three-digit number.
Solution:
LCM(12,15,24)=23×3×5=120LCM(12, 15, 24) = 2^3 \times 3 \times 5 = 120​​

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