The least square number which is exactly divisible by 3,4,8 and 9 is
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144 is the answer
The least square number which is exactly divisible by 3, 4, 8 and 9 = L.C.M of 3, 4. 8 and 9
Now, L.C.M of 3, 4, 8 and 9 is
L.C.M of 3,4, 8 and 9 =
LCM = 2 3,4,8,9
2 3,2,4,9
2 3,1,2,9
3 3,1,1,9
3 1,1,1,3
1,1,1,1
2×2×2×3×3=72
Pair of 2 is not completed. To make it a perfect square, the number should be multiplied with 2
Now, 72 ×2=144
The least square number which is exactly divisible by 3, 4, 8 and 9 is 144
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