Question
The LCM of two natural numbers is 8 times their HCF. If the product of given two numbers is 7,200, then find the LCM of the numbers.
Solution
Let the HCF of the number be 'H'. So, LCM = 8H Product of two numbers = Product of their HCF and LCM So, 8H X H = 7,200 Or, H2 = 900 Or, 'H' = 30 or, H = - 30 Since, HCF cannot be negative. So, 'H' = 30 Therefore, LCM = 8 X 30 = 240
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