Question
The LCM of two natural numbers is 15 times their HCF.
If the product of given two numbers is 2160, then find the LCM of the numbers.Solution
Let the HCF of the number be 'H'. So, LCM = 15H Product of two numbers = Product of their HCF and LCM So, 15H × H = 2160 Or, H² = 144 Or, H = 12 or H = –12 Since, HCF cannot be negative. So, H = 12 Therefore, LCM = 15 × 12 = 180
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