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What is the smallest square number divisible by 9 15 20?

Posted on August 11, 2022 by Author

What is the smallest square number divisible by 9 15 20?

First find the LCM of 9,15 and 20 that is 180. So now to make 180 a perfect square we need to multiply it by 5 so that it’s Prime factorization is 2×2×3×3×5×5. Therefore, 30 is the smallest square number that is equally divisible by 9,15 and 20.

What is the least square number exactly divisible by 6 9 15 and 20?

900
Thus, the least square number which is exactly divisible by 6, 9, 15 and 20 is 900.

What is the least square number exactly divisible by 8 12 15 and 20?

3600
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 least number which is exactly divisible by 8 9 12 15 and 18 and is also a perfect square?

Sol: 12 = 2 x 2 x 3 15 = 3 x 5 20 = 2 x 2 x 5 So, LCM = 2 x 2 x 3 x 5 = 60 As 3 and 5 are not in pair in LCM’s factor so we need to multiply 60 by 5 and 3 to make it a perfect square. Required Smallest Number = 60 x 3 x 5 = 900.

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What is the smallest square?

Step-by-step explanation: we multiply the LCM 90 by 2*5, hence required smallest square number is 900.

What is the smallest square number with exactly 15 factors?

144 is the smallest number that has exactly 15 factors.

What is the smallest square number divisible by each one of the numbers 8 9 and 10?

Hence, the smallest square number divisible by each of the numbers 8, 9 and 10 is 3600.

What is the square of 15876?

126
Hence, the square root of 15876 is 126.

What is the smallest perfect square divisible by 8 12 15?

3600 is the right answer.

What is the smallest number divisible by 8 9 and 12?

The value of LCM of 8, 9, 12 is the smallest common multiple of 8, 9, and 12. The number satisfying the given condition is 72.

What is the smallest number which is a perfect square and is divisible by 16 20 and 24?

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∴ 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 smallest square number divisible by each one of the number 8 9 and 10?

What is the smallest square number that is divisible by 8-15-20?

Square of 30 is 900 and 900*4 is 3600, which is the required answer. Thus, 3600 is the smallest square number and all numbers 8, 15 and 20 divide it separately. , Ph.D. (I.I.T.Kanpur) Mathematics (1978) Originally Answered: What is the smallest square number that is divisible by 8, 15 and 20?

What is the smallest number that is a perfect square?

A ‘square number’, also known as a ‘perfect square’, is a number that is the square of an integer. Thus the smallest square is 0 (= 0 squared). Is it divisible by 8, 15 and 20?

How to find the smallest number evenly divisible by first n numbers?

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Smallest number divisible by first n numbers. Given a number n find the smallest number evenly divisible by each number 1 to n. Examples: If you observe carefully the ans must be the LCM of the numbers 1 to n. Initialize ans = 1. Iterate over all the numbers from i = 1 to i = n. At the i’th iteration ans = LCM(1, 2, …….., i).

How do you find the perfect square of 5?

Find the smallest square number that is divisible by each of the numbers 4, 9 and 10. Hence, L.C.M = (2 × 2 × 3 x 3 × 5) = 180. 5 cannot be paired. Therefore, multiply 180 by 5 to get the perfect square.

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