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CBSE Class 6 Answered

What is the least perfect least square which is divisible by each of 21, 36 and 66? Give your answer in index form
Asked by aryan975404 | 26 Sep, 2020, 05:25: PM
answered-by-expert Expert Answer
The least perfect square can be obtained by using the concept of LCM
21 = 3 x 7
36 = 2 x 2 x 3 x 3
66 = 2 x 3 x 11
LCM(21, 36, 66) = 2 x 2 x 3 x 3 x 7 x 11 = 2772
To make 2772 a perfect square, we need to multiply it with 7 x 11
2772 x 7 x 11 = 213444
Hence, the least perfect square which is divisible by each of 21, 36 and 66 is 213444.
Answered by Renu Varma | 28 Sep, 2020, 11:19: AM
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