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The HCF of 2 numbers is 75 and their LCM is 1500. If one of the numbers is 300, find the other.

User Skrilled
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1 Answer

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The other number is 375.

Explanation:

The given information are,

  • The HCF of two numbers is 75.
  • The LCM of the two numbers is 1500.

The one number out of the two numbers is 300.

Let, the another number be assumed as 'x'.

The first number = 300 and the second number = x.

To find the number x :

The HCF × LCM = product of two Numbers is a logic to used to find the unknown number.

We know the values of HCF = 75 , LCM = 1500 and one number = 300 and the second number is x.

Therefore, substituting those values in the above formula, we get

⇒ 75 × 1500 = 300 × x

⇒ 1125 / 3 = x

375 = x

Therefore, the second number is 375.

User Jops
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