Question

Find the least square number which is exactly divisible by each of the number 8,9,10,15

Answer 1

Answer: 3600

Step-by-step explanation:

LCM of 8,9,10,15 = 2^3 x 3^2 x 5 = 360

360 is not a square , so to make it a square we have to multiply something with it such that it has an even no. of each of its factors

360 = 2^3 x 3^2 x 5

So we have to convert it to 2^4 x 3^2 x 5^2 so that it becomes a square.

So we have to multiple with a 2 and 5 , which is 10

360 x 10 = 3600 , which is (60)^2 .