Question

find the smallest square number devisible by each of the numbers 8 , 9 and 10​

Answer 1

Answer:

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Find the smallest square number divisible by each of the numbers 8 , 9 and 10

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Smallest number divisible by 8,9 and 10

=L.C.M. of 8,9,10

2|8,9,10

...4,9,5

L.C.M.=2×4×9×5=360

Hence,the smallest number divisible by 8,9 and 10 is 360.

Answer 2

The least square number which is exactly divisible by 8, 9, and 10 = L.C.M. of 8, 9, and 10.
Hence,L.C.M = 2×2×2×3×3×5=360
As we calculate,
2×2×2×3×3×5
2 and 5 have incomplete pairs.
So, to make if perfect square, we have to multiple it by
2 × 5 = 10
Now, 360 ×10 = 3600
Hence, the answer is 3600.