Question
L.C.M. of two numbers is 15 times of their H.C.F. The
product of numbers is 4860. What will be the maximum possible difference between the numbers?Solution
Let the HCF be x. LCM = 15x => HCF × LCM = The product of two numbers => x × 15x = 4860 => 15x2 = 4860 => x = 18 So, HCF = 18 LCM = 15 × x = 15 × 18 = 270 The largest possible difference = LCM - HCF = 270 - 18 = 252
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