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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