Question
The LCM of two natural numbers is 12 times their HCF.
If the product of given two numbers is 432, then find the LCM of the numbers.ÂSolution
Let the HCF of the number be 'H'. So, LCM = 12H Product of two numbers = Product of their HCF and LCM So, 12H × H = 432 Or, H² = 36 Or, H = 6 or H = –6 Since, HCF cannot be negative. So, H = 6 Therefore, LCM = 12 × 6 = 72Â
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