Question

Three numbers are in the ratio of 2 : 3 : 4 and their l.c.m. is 240. their h.c.f. is

Answer 1

Answer

Step-by-step explanation:

Answer 2

Given:

Ratio of the numbers =  2 : 3 : 4

Their LCM = 240

To find:

HCF of the numbers

Solution:

Let the first number be = 2x,

Let the second number be = 3x

Let the third number be = 4x,

Now,

Calculating the LCM of 2x, 3x and 4x

= 12x

Since LCM of 240 is given,

Therefore,

12x = 240

x = 240/12

= 20

Answer: H.C.F of the numbers is 20