Question

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

Answer 1

900 is the smallest square number.

4=2×2

9=3×3

10=2×5

lcm= 2×2×3×3×2×5= 180

For a perfect square 180 is multiplied by 5.

180×5= 900

Answer 2

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⟹ Asked :-

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

⟹ Solution :-

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L.C.M. of 4, 9 and 10 is 180.

Prime factors of 180 = 2 x 2 x 3 x 3 x 5

Here, prime factor 5 has no pair. Therefore 180 must be multiplied by 5 to make it a perfect square.

So ,

$180 \: \times \: 5 \: = 900$

Hence, the smallest square number which is divisible by 4, 9 and 10 is 900.

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hαppч lєαrníng ! :D

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Note :-

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