Question
What is the least perfect square divisible by 15, 18, 25
and 30? Also, find the remainder when this number is divided by 77.Solution
ATQ,
LCM of 15, 18, 25 and 30 = 450
Since, 450 = (2 Ă— 3 Ă— 3 Ă— 5 Ă— 5)
To convert this to a perfect square, we multiply by 2
So, required number = 450 Ă— 2 = 900
900 Ă· 77 = 11 Ă— 77 + 53
So, desired remainder = 53
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