Which is the least number which is a perfect square and is divisible by each of 16 20 and 24?
Table of Contents
- 1 Which is the least number which is a perfect square and is divisible by each of 16 20 and 24?
- 2 What is the least number which is a perfect square and exactly divisible by 10 12 and 15?
- 3 What is the least square divisible by 8 15 and 24?
- 4 How to find least perfect square divisible by 3 4 5 6?
- 5 What is the least number which is a perfect square?
- 6 What is the least square number that is exactly divisible by 120?
Which is the least number which is a perfect square and is divisible by each of 16 20 and 24?
3600
∴ The least number which is a perfect square and is divisible by each of the numbers 16, 20 and 24 is 3600.
What is the least number which is a perfect square and exactly divisible by 10 12 and 15?
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 least square divisible by 8 15 and 24?
Here, prime factors 2, 3 and 5 have no pair. Therefore 120 must be multiplied by 2 x 3 x 5 to make it a perfect square. Hence, the smallest square number which is divisible by 8, 15 and 20 is 3600.
What is the lowest perfect square?
List of perfect Squares?
| Perfect Square | Factors |
|---|---|
| 1 | 1 * 1 |
| 4 | 2 * 2 |
| 9 | 3 * 3 |
| 16 | 4 * 4 |
What is the least square number?
Given: Numbers = 6, 9, 15 and 20. To do: To find the least square number which is exactly divisible by each of these numbers 6, 9, 15, and 20. Thus, the least square number which is exactly divisible by 6, 9, 15 and 20 is 900.
How to find least perfect square divisible by 3 4 5 6?
To find least perfect square divisible by 3,4,5,6 and 8 L.C.M of 3,4,5,6,8 = 120 120= 2×2×2×3×5 In the above factorization 2,3 and 5 are not in pairs so multiply it by the stated numbers.
What is the least number which is a perfect square?
Hence the required least number which is a perfect Square is 3600. Hope this will help you… if you want the number that is divisible by 16,20,24 it’s factors must contain each of these values by… Still have questions?
What is the least square number that is exactly divisible by 120?
On observing the prime factors of 120 it can be seen that on multiplying 120 by 2*3*5 we get a perfect square Originally Answered: What is the least square number which is exactly divisible by the numbers 8, 12, 15, and 20? LCM = 2^3x3x5 = 120. Multiply 120 by 2, 3 and 5 to get 3600 which is a square of 60. and divisible by 8, 12, 15 and 20.
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
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