Question

Find the least square number which is exactly divisible by each of the number 8 , 12 , 15 and 20


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Answer 1

Answer:

L.C.M. of 8, 15 and 20 is 120. Here, prime factors 2, 3 and 5 have no pair. Therefore 120 must be multiplied by 2 x 3 x 5 to make it a perfect square. Hence, the smallest square number which is divisible by 8, 15 and 20 is 3600.

Answer 2

Step-by-step explanation:

First let us find the square of 2509 using long division method. The remainder is 9. Hence 502<2509Hence the number to be subtracted is 2509-2500=9Therefore 9 should be subtracted from 2509 to get a perfect square.