Question

Question4-Find the smallest square number which is exactly divisible by 4,5,6,12.

Answer 1

Answer:

900

Step-by-step explanation:

LCM=60

the multiple of 60 which is a square number is 900

Answer 2

Answer:

900

Step-by-step explanation:

Prime Factorisation of 4 = 2 x 2

Prime Factorisation of 5 = 5

Prime Factorisation of 6 = 2 x 3

Prime Factorisation of 12 = 2 x 2 x 3

LCM of 4, 5, 6 and 12

= 2 x 2 x 3 x 5

= 60

Prime Factorisation of 60 = 2 x 2 x 3 x 5

To find the smallest square number, we need to ensure that all factors are in multiples of 2.

Thus, mulltiplying 60 by 3 and 5,

We get 60 x 15 = 900

Ans: 900