Question : What is that least perfect square, which is exactly divisible by each of 12, 84 and 24?
Option 1: 2304
Option 2: 7056
Option 3: 11664
Option 4: 1764

Question

Question : What is that least perfect square, which is exactly divisible by each of 12, 84 and 24?

Option 1: 2304

Option 2: 7056

Option 3: 11664

Option 4: 1764

Team Careers360 · Accepted Answer

Correct Answer: 7056

Solution : Let's find the correct least perfect square that is exactly divisible by each of 12, 84, and 24.
Prime factorization of 12 = ${2}^{2}×3$
Prime factorization of 84 = ${2}^{2}×3×7$
Prime factorization of 24 = ${2}^{3}×3$
Least Common Multiple = 2 × 2 × 2 × 3 × 7 = 168
⇒ Required perfect square = 168 × 2 × 3 × 7 = 7056
Hence, the correct answer is 7056.

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Question : What is that least perfect square, which is exactly divisible by each of 12, 84 and 24?Option 1: 2304Option 2: 7056Option 3: 11664Option 4: 1764

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Question : What is that least perfect square, which is exactly divisible by each of 12, 84 and 24?
Option 1: 2304
Option 2: 7056
Option 3: 11664
Option 4: 1764