Question
The LCM of two natural numbers is 25 times their HCF.
If the product of given two numbers is 3600, then find the LCM of the numbers.ĀSolution
Let the HCF of the number be 'H'.Ā So, LCM = 25HĀ Product of two numbers = Product of their HCF and LCMĀ So, 25H Ć H = 3600Ā Or, HĀ² = 144Ā Or, H = 12 or H = ā12Ā Since, HCF cannot be negative. So, H = 12Ā Therefore, LCM = 25 Ć 12 = 300Ā
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