Find the least square number(perfect square) which is exactly divisible by each of the following numbers 6, 8, 9, 15 ,12.
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Find the least square number(perfect square) which is exactly divisible by each of the following numbers 6, 8, 9, 15 ,12.
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Step-by-step explanation:
it should be the multiple of LCM
so
240*n
trial and error for n
Answer:
3600
Step-by-step explanation:
First find LCM of the numbers
It'll be 2×2×2×3×3×5
Therefore we need one more 2 and one more 5 to make it a perfect square which is divisible by the numbers
so 2×2×2×2×3×3×5×5 = 4×4×9×25 = 16×225 = 3600
3600 is the smallest possible number which is both a perfect square (√3600 = 60) and js divisible by each of the 5 numbers!
Hope it helps and have a great September!!