Find the smallest perfect square number which is divisible by 4,9, and 10.
[need step-by-step solution]
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2
Step-by-step explanation:
L.C.M. of 4, 9 and 10 is 180. Here, prime factor 5 has no pair. Therefore 180 must be multiplied by 5 to make it a perfect square. Hence, the smallest square number which is divisible by 4, 9 and 10 is 900.
Answered by
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Heya mate... here is your answer...
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.
∴180×5=900
Hence, the smallest square number which is divisible by 4, 9 and 10 is 900.
have a great day friend...
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