Question

The HCF of the two numbers is 6 and their LCM is 144 lf one of the numbers is 36 find the other

Answer 1

The other number is 24.

Given: The HCF of the two numbers is 6.

The LCM of the two numbers is 144.

One of the numbers is 36

To Find: The other number.

Solution:

• We know that the product of LCM and HCF of any two numbers is equal to the product of the two numbers.

        ∴   LCM × HCF = n1 × n2                 [ where, n1 and n2 are numbers ]

In our question, we have been given,

LCM = 144, HCF = 6, n1 = 36

Thus, putting the respective values in the formula we get,

            n2 = ( LCM × HCF ) / n1

       ⇒  n2 = ( 144 × 6 ) / 36

       ⇒ n2  =  24

Hence, the other number is 24.

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