Question

find the greatest square number which is divisible by 6,9 and 15.​

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:

Hello There,

This is your answer.

Step-by-step explanation:

L.C.M of 6, 9 and 15 is 90.

A square number which is divisible by 90 is also divisible by 6, 9 and 15.

90 × 10 = 900

90 × 40 = 3600

90 × 90 = 8100

$\sqrt{900} = 30$

$\sqrt{3600} = 60$

$\sqrt{8100} = 90$

From this we can see that,

The square of multiples of 30 is divisible by 6, 9 and 15. By this way you can find the greatest square number that can be divisible by 6, 9 and 15.

HOPE THIS HELPS YOU!!!