Question

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

• A. 40

Answer 1

The correct option is A 40

Given the numbers are in ratio 3 : 4: 5.
Let the numbers be 3x, 4x and 5x.
Then, their L.C.M. = 60x.
$\Rightarrow$60x = 2400
$\Rightarrow$x = 40.

$\Rightarrow$ The numbers are (3 x 40), (4 x 40) and (5 x 40).
$\therefore$ The required H.C.F. = 40.