Question

what is the least perfect square which is divisible by each of 21, 36 and 66? give your answer in index form.LCM question​

Answer 1

Answer:

LCM of 21, 36, 66 is 3^2, 2^2, 7, 11. So the smallest perfect square should be 3^2 x 2^2 x 7^2 x 11^2 = 213444.

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Answer 2

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LCM of 21, 36, 66 = 2722

Now, 2722 = 2 × 2 × 3 × 3 × 7 × 11

to make it a perfect square , it must be multiplied by 7 × 11 ..

so, required number = 2^2 × 3^2 × 7^2 × 11^2

== 21344

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