Question

Three numbers are in the ratio of 3:4:5 and their L.C.M. is 2400. Their H.C.F. is :

Answer 1

Answer:

Hey mate,

here is your answer

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

Then  their   L.C.M=60x

∴60x=2400

⇒x=602400​=40

∴Numbers are (3×40),(4×40)and(5×40)

Then H.C.F=40

Answer 2

Answer:

40

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