# What is the smallest square number that is divisible by each of the number 10 12 16?

## What is the smallest square number that is divisible by each of the number 10 12 16?

the smallest sq. number is 2 that is divisible by 10,12,16.

What is the smallest number divisible by 10 12 and 20?

We have already ensured that this number is the smallest by taking the LCM. So, we have to find the Lowest Common Multiple (LCM) of 10, 12, 20 and 30. To find LCM we have to write the given numbers as the product of the smallest factors. Hence, the answer is 65.

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### What is the smallest number divisible by 10 15 and 20?

Answer: LCM of 10, 15, and 20 is 60.

How do you find the smallest square number?

In this question, first, find the factors to find the LCM and find the smallest number, which will make the LCM a perfect square number. , where 180 is not a perfect number. Hence the number 900 is the smallest square number divisible by each number 4, 9, and 10.

#### How do you find the smallest square number that is divisible by each of the numbers 8 15 and 20?

L.C.M. of 8, 15 and 20 is 120. 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 smallest square number?

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

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## What is the smallest whole number divisible by 10 and 12?

60; multiples of 12 = 12, 24, 36, 48 . . . . 60) and choose the smallest multiple that is exactly divisible by 10 and 12, i.e., 60.

What is the smallest number of 12 and 15?

60
Hence, the Least common multiple of 12 and 15 is 60.

### What is the smallest square number with exactly 15 factors?

144
Detailed Solution N = ap × bq × cr Where a, b and c are prime factors of N. 144 is the smallest number that has exactly 15 factors.

What is the smallest perfect square number divisible by 12 and 15?

Multiply N by 5 to get perfect square, 5N = 22 × 32 × 52 = 900 ∴ The smallest perfect square number divisible by 12, 15 and 18 is 900. Download Question With Solution PDF ››

#### What is the number that is divisible by 12 15 and 20?

15=3*5. 20=2*2*5. LCM=2*2*3*5=60. So 60 is the number that is divisible by 12, 15 and 20. What is the least perfect square number which is divisible by each of numbers 8, 12, 15, and 20? First let us factorise the given numbers and see their powers. 2^4 x 3^2 x 5^2 is sufficient and least number which will satisfy all conditions.

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What is the smallest number that can be divided by 15-20-24?

First, let’s break down these three numbers into the products of their prime numbers. In order to find the LCM, we need to multiply all the numbers of the highest degree. So, Thus, 120 is the smallest number that can be divided exactly by 15, 20 and 24.