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Three Numbers Are in the Ratio of 3:4:5 and Their Lcm is 2400. Then, Their Hcf is - Mathematics

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MCQ

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

Options

  • 40

  • 80

  • 120

  • 200

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Solution

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

Concept: Number System (Entrance Exam)
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