Question
What is the least perfect square which is divisible by each of 21, 36 and 66?
What is the least perfect square which is divisible by each of 21, 36 and 66?
Answer: Option A
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Answer : Option A
Explanation :
LCM of 21, 36, 66 = 2772
ie, all multiples of 2772 are divisible by 21, 36 and 66
Prime factorization of 2772 is,
2772 = 2 × 2 × 3 × 3 × 7 × 11
ie, to make it a perfect square, we have to multiply it by 7 and 11
Hence, required number = 2772 × 7 × 11 = 213444
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