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Squares and Square Roots
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08/08/2021 11:42 am
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Find the smallest square number that is divisible by each of the numbers 4, 9 and 10.
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08/08/2021 11:44 am
L.C.M of 4, 9 and 10 is (2 × 2 × 9 × 5) 180.
180 = 2 × 2 × 9 × 5
= (2 × 2) × 3 × 3 × 5
= (2 × 2) × (3 × 3) × 5
Here, 5 cannot be paired.
∴ we will multiply 180 by 5 to get perfect square.
Hence, the smallest square number divisible by 4, 9 and 10
= 180 × 5 = 900