Question

Three Numbers are in ratio of 3:4:5 and their LCM is 2400. There HCF is​

Answer 1

Answer:

Step-by-step explanation:

Let us consider the number be 3x,4x and 5x

The L.C.M of the three numbers be =60x

60x = 2400

x = 2400/60

x = 40

Then the number be

3x = 3 × 40 = 120

4x = 4 × 40 = 160

5x = 5 × 40 = 200

∴ The HCF of the three numbers be 40.

Answer 2

Answer:

Let the three numbers be 3x, 4x, 5x. Then:

LCM = 60x = 2400

              x = 40.

So, the numbers are -

3x = 120

4x = 160

5x = 200

HCF (120, 160, 200) = 40.

Hope this helps you.

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