Question

Find the least square number which is exactly divisible by each of the following numbers 6, 9, 15 and 20​

Answer 1

Answer:

Smallest least number divisible by 6,9,15 and 20 is its L.C.M. Its LCM is 180. Therefore there is no factor to form pair of 5, so to make it a perfect square we multiply 180 with 5 to get 900. Hence least square number divisible by6,9,15 and 20 is 900.

Answer 2

Answer:

900

Step-by-step explanation:

First we find least number which is exactly divisible by numbers 6,9,15 and 20

For that we need to find LCM

6 = 2 * 3

9 = 3 * 3

15 = 3 * 5

20 = 2 * 2 * 5

LCM = 2 * 2 *  3  * 3 * 5 =  180

LCM = 2² * 3² * 5

To make it perfect square we need to multiply it by 5

= 2² * 3² * 5²

=  30²

= 900

900 is the least square number which is exactly divisible by each of the numbers 6,9,15 and 20

Hope it helps.............