Which is the smallest perfect square divisible by each of 6 12 and 18?

Correct Option: D Hence , required answer is 36.

Which of the following is the least square number which is exactly divisible by 10 12 15 and 18?

L.C.M. of 10 12 15 18 = 180. Now 180 = 2 * 2 * 3 * 3 *5 = 22 * 32 * 5. To make it a perfect square it must be multiplied by 5. Required number = 22 * 32 * 52 = 900.

What is the highest four digit perfect square number divisible by 12 18 30?

Therefore, 8100 is the highest four digit perfect square number which is divisible by 12,18 and 30.

What is the least perfect square that is divisible by 120?

So the number must contain the factor 5 twice, the factor 3 twice and the factor 2 four times to be a perfect square and divisible by 120 The answer is 3600. Now 2⁷ is a bit excessive for what is needed, so that can be reduced by dividing out 8, or 2³ So the least perfect square divisible by all these given terms is 3²×4²×5², or 3600.

How do you find the perfect square of 120?

SO,it’s need to 2*3*5 to make perfect square. So the number must contain the factor 5 twice, the factor 3 twice and the factor 2 four times to be a perfect square and divisible by 120 The answer is 3600. Now 2⁷ is a bit excessive for what is needed, so that can be reduced by dividing out 8, or 2³

Why can’t we ignore the 24 in the perfect square?

We can ignore the 24 because any number divisible by 12 and 16 will also be divisible by 24. We can also ignore the 2’s in the factorizations of 12 and 20 since those 2’s will be covered by the factorization of 16. This leaves us with 2x2x2x2x3x5 for the necessary factors in our perfect square. The 2’s occur an even number

What is the least number divisible by 16 20 and 24?

The least number which is a perfect square and is divisible by each of the numbers 16, 20 and 24 is: 1600 3600 6400