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Which is the least number which is exactly divisible by 4 5 6?

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Which is the least number which is exactly divisible by 4 5 6?

Hence, 900 is the smallest square number divisible by 4,5,6 and12.

What is the least number which is exactly divisible by 8 9 12 15 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 least square number which is divisible by?

As only 5 is not in pair. Therefore, The required smallest square number is divisible by 2,4,5,6,9 is 900.

What is the least perfect square number which is exactly divisible by each one of the numbers 4 5 and 10?

The least perfect square exactly divisible by each of the numbers 4,5,10 is 100.

Which is the smallest 3 digit number which is exactly divisible by 4 5 and 6?

=> The LCM is 60. divisible by 4, 5 and 6. We can easily find this constant to be 2. Hence the required number comes out to be 120.

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 square of 15876?

126
Hence, the square root of 15876 is 126.

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Which is the smallest square number that is divisible by each of the following number 4 9 and 10?

900
Hence the number 900 is the smallest square number divisible by each number 4, 9, and 10.

What is the least perfect square number exactly divisible by 4?

The least perfect square number exactly divisible by 4, 5, 6, 15 and 18 is – 180 When multiplied by 5 becomes a perfect square. ∴ The least perfect square number is 900.

Which number is divisible by 4 5 and 6?

This question asks for a square number, which implies that when this number is decomposed into a product of powers of prime factors, every exponent must be an even number. Hence we raise the maximal exponent of 5 to 2. Therefore, we have 2 2 × 3 2 × 5 2 = ( 2 × 3 × 5) 2 = 30 2 = 900. This square number is indeed divisible by 4, 5, 6, 15, and 18.

How do you find the perfect square of 5?

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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.

What is the LCM of 4 5 and 6 using prime factorization?

To find the LCM of 4, 5, and 6 using prime factorization, we will find the prime factors, (4 = 2 2), (5 = 5 1), and (6 = 2 1 × 3 1). LCM of 4, 5, and 6 is the product of prime factors raised to their respective highest exponent among the numbers 4, 5, and 6. ⇒ LCM of 4, 5, 6 = 2 2 × 3 1 × 5 1 = 60. Download FREE Study Materials