Question

find the smallest square number which is divisible by each of the number 5,12,15​

Answer 1

Answer:

60

Step-by-step explanation:

Take L.C.M of all the number

Answer 2

Answer:

900

Step-by-step explanation:

Prime factorization of 5 = 5

Prime factorization of 12 = 2 * 2 * 3

Prime factorization of 15 = 3 * 5

LCM(5,12,15) = 5 * 2 * 2 * 3 = 60

In order to make the perfect square, we must multiply the LCM by 5 * 3 i.e 15

=> 60 * 15

=> 900

Hence, the smallest square number = 900

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