Question

Three numbers are in ratio 3 is to 4 is to 5 and their lcm is 2400 then hcf is

Answer 1

Let three numbers are 3x, 4x and 5x

LCM of 3x, 4x and 5x be 60x

And also LCM of 3x, 4x and 5x be 2400

∴60x=2400

x=40

three numbers are 3x=120,4x=160,5x=200

HCF of 120, 160 and 200 be 40