the least perfect square which is divisible by 11,21,36,66
Answers
Given : perfect square, which is divisible by each of the numbers; 11, 21, 36 and 66, is
To find : least perfect square,
Solution:
first calculate LCM of
11 , 21 , 36 & 66
11 = 11 * 1
21 = 3 * 7
36 = 2 * 2 * 3 * 3
66 = 2 * 3 * 11
LCM = 2 * 2 * 3 * 3 * 7 * 11
= 2² * 3² * 77
need to multiply with 77 to get perfect square
Least perfect square
= 2² * 3² * 77 * 77
= 2² * 3² * 77 ²
= 462²
= 213444
213444 is the least perfect square, which is divisible by each of the numbers; 11, 21, 36 and 66,
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