Question

three numbers are in the ratio of 3:4:5 and their LCM is2400 Their HCF is​

Answer 1

Answer:

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

Then their L.C.M=60x

∴60x=2400

⇒x=

60

2400

=40

∴Numbers are (3×40),(4×40)and(5×40)

Then H.C.F=40

Answer 2

Step-by-step explanation:

Let the numbers be 3x, 4x and 5x.

Then, their L.C.M. = 60x.

So, 60x = 2400 or x = 40.

The numbers are (3 x 40), (4 x 40) and (5 x 40).

Hence, required H.C.F. = 40.