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Question
Find the smallest perfect square divisible by 3, 4, 5 and 6.
Solution
L.C.M. of 3, 4, 5, 6 = 2 x 2 x 3 x 5 = 60
| 2 | 3, 4, 5, 6 |
| 3 | 3, 2, 5, 3 |
| 1, 2, 5, 1 |
in which 3 and 5 are not in pairs L.C.M. = 2 x 3 x 2 x 5 = 60
We should multiple it by 3 x 5 i.e. by 15
Required perfect square = 60 x 15 = 900
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