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Question:

Find the smallest square number which is divisible by each of the numbers 8, 15, and 20.

Solution:

8 = 2 × 2 × 2
15 = 3 × 5
20 = 2 × 2 × 5
L.C.M = 2 × 2 × 2 × 3 × 5 = 120
Required number = 120 × 3 × 5 = 1800