Q. 243.9( 13 Votes )

If the sum of LCM

Answer :

Given:The sum of LCM and HCF of two numbers is 1260 and their LCM is 900 more than their HCF.
To find: The product of two numbers.
Solution: Let LCM be x and HCF be y.

Then, by given condition,Sum of LCM and HCF
x + y = 1260    (1)

Also, LCM is 900 more than HCF i.e.
x = 900 + y

Substituting x = 900 + y in equation (1)

900 + y + y = 1260

900 + 2y = 1260

2y = 360

y = 180

Then, x = 900 + 180 = 108

Thus, LCM = 1080 and HCF = 180


We know that for any two positive integers a and b, HCF (a, b) × LCM (a, b) = a × b.


1080 × 180 = 194400

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