Question

find the smallest square number divisible by 4 ,6,15​

Answer 1

Answer:

900

Step-by-step explanation:

Concept= Divisibility

Given= Divisor

To find= Square Number Divisible by 3 of them

Explanation=

We are given three divisors as 4, 6, 15.

4 is divisible by 1,2,4

6 is divisible by 1,2,3,6

15 is divisible by 1,5,15

Now any number being divisible by them should be a multiple of their respective factors.

For a number to be divisible by 4.6.15 it should definitely be a multiple of 5 because 5 is the odd one out here.

So among squares with multiple of 5 we have

25= not divisible by 4,6,15

100= not divisible by 6,15

225= not divisible by 4,6,15

400= not divisible by 6,15

625= not divisible by 4,6,15

900= divisible by 4,6,15 all together.

There the smallest square divisible by 4,6,15 is 900.

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