Find the least number which is a perfect square and which is also divisible by 12, 15 and 24.
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Solution
12 = 2 x 2 x 3 15 = 3 x 5 20 = 2 x 2 x 2 x 3 So, LCM = 2 x 2 x 3 x 5 = 60 As 3 and 5 are not in pair in LCM’s factor so we need to multiply 60 by 5 and 3 to make it a perfect square. Required Smallest Number = 60 x 3 x 5 = 900.