Question
The LCM of two natural numbers is 8 times their HCF. If
the product of given two numbers is 1152, 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 × H = 1152 Or, H² = 144 Or, H = 12 or H = –12 Since, HCF cannot be negative. So, H = 12 Therefore, LCM = 8 × 12 = 96
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