Question

find the least perfect squre that is exactly divisible by 6,9,15and 20


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Answer 1

Answer:

Step-by-step explanation:

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

To Find:

the least perfect square exactly divisible by each one of the numbers 6,9,15 and 20

Solution:

First let us find the LCM of  6,9,15 and 20  

180 is the LCM of 6,9,15 and 20

Now multiply the  prime factors so that all the prime factors will have even multiplicities. 

The prime factors was 2×2×3×3×5

2²×3²×5²

4×9×25

=900

∴900 is the answer