Question

Find the least square number which is exacty divisible by each of the number8,9,10and 15

Answer 1

1 is the least square number which divide 8,9,10 and 15.

Answer 2

Answer:

The LCM of 8 , 9 , 10 and 15 is 2 × 3 × 3 × 4 × 5

= 360

prime factorisation of 360 is 360= 2×2×2×3×3×5

we see that prime factors 2 and 5 are not in pairs. Therefore 360 is not a perfect square.

To get a perfect square, each factor of 360 be paired. so we needto make pairs of 2 and 5 . Therefore, 360 should be multiplied by 2×5

Hence, the required square number is 360×10

= 3600.