uteta15p2 q118

118Three numbers are in the ratio of 3 : 4 : 5 and their LCM is 2400. Their HCF is

Option : C
Explanation : Let the numbers be 3x, 4x and 5x.
Then, their LCM =60x
So, 60x = 2400 => x = 40
⇒ The numbers are (3 × 40), (4 × 40) and(5 × 40).
Hence, required HCF = 40

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