Question
The LCM of two natural numbers is 10 times their HCF. If the product of given two numbers is 1000, then find the LCM of the numbers.
Solution
Let the HCF of the number be 'H'. So, LCM = 10H Product of two numbers = Product of their HCF and LCM So, 10H × H = 1000 Or, H² = 100 Or, H = 10 or H = –10 Since, HCF cannot be negative. So, H = 10 Therefore, LCM = 10 × 10 = 100
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