Find the least square number which is exactly divisible by each of the number 8,12,15&20
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First let us factorise the given numbers and see their powers.
8 = 2^3
12 = 2^2 x 3
15 = 3 x 5
20 = 2^2 x 5
So a number which is divisible by each of them should contain
2^3 x 3 x 5
Now for it to be a perfect square, it should have even powers
Hence,
2^4 x 3^2 x 5^2 is sufficient and least number which will satisfy all conditions.
3600 is the answer
8 = 2^3
12 = 2^2 x 3
15 = 3 x 5
20 = 2^2 x 5
So a number which is divisible by each of them should contain
2^3 x 3 x 5
Now for it to be a perfect square, it should have even powers
Hence,
2^4 x 3^2 x 5^2 is sufficient and least number which will satisfy all conditions.
3600 is the answer
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