If the sum of LCM and HCF of two numbers is 1260 and their LCM is 900 more than their HCF, then the product of two numbers is
Let LCM be x and HCF be y.
Then, by given, x + y = 1260
Substituting x = 900 + y in above equation,
900 + y + y = 1260
900 + 2y = 1260
2y = 360
y = 180
Then, x = 900 + 180 = 1080
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