Find the least square number which is exactly divisible by each one of the
numbers 8, 12, 15 and 20
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The smallest number divisible by 8, 12, 15 and 20 is their L.C.M. i.e. 120 Resolving the L.C.M. as prime factors we get, 120= 2 × 2 × 2 × 3 × 5 To make it perfect square multiply by 2 × 3 × 5=30 Which implies 120 × 30 = 3600 Least square number which is exactly divisible by 6, 9, 15 and 20 is 3600.
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