Find the smallest square number which is exactly divisible by each of the numbers 12, 24 and 40.
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For finding the smallest number we first need to find LCM
LCM or the Least Common Multiple is the smallest positive integer that is divisible by all 3 numbers.
One way to find LCM is by using prime factorisation method.
This method is given in attachment.
12 = 2 × 2 × 3 = 2² × 3
24 = 2 × 2 × 2 × 3 = 2³ × 3
40 = 2 × 2 × 2 × 5 = 2³ × 5
Therefore, LCM = 2³ × 3 × 5 = 120
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