Question

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

Answer 1

Least square number divisible by 6,9,15,20=(LCM)^2
Now,
LCM of 6,9,15,20=180
Least square number which is exactly divisible by 6,9,15,20=(180)^2
=32400

Answer 2

Answer:

32400

Step-by-step explanation:

Least square number which is exactly divisible by 6, 9, 15, 20 = 32400.

LCM:

It is defined as the two numbers “a and b" are divisible by both and by itself also they aren't equal to 0. Least common multiple is called as a smallest common number divisible by the given number. In case of fractions the LCM of a number is defined by the "Least common denominator" (LCD) of a given number.  

To find the least square number divisible by 6, 9, 15, 20

We need to find the square of the LCM of 6, 9, 15, 20

∴ LCM = 2 x 2 x 3 x 3 x 5 = 180

Answer:  Least square number which is exactly divisible by 6, 9, 15, 20 = 180² = 32400