Question

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

Answer 1

$\huge\bigstar\:$$\Huge\tt\underline\blue{ANSWER}$

40

$\huge\bigstar\:$$\Huge\tt\underline\blue{EXPLAINATION}$

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