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Properties of Square Numbers

Find the smal...

Question

Find the smallest perfect square number that is divisible by each of the numbers 4, 9 and 10.

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Solution

$4 = 2 \times 2$
$9 = 3 \times 3$
$10 = 2 \times 5$
The least common number which is divisible by 4,9,10 is the LCM(4,9,10) = $2 \times \times 2 \times 3 \times 3 \times 5$ = 180

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