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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

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