Question

Two numbers are in the ratio 11:13 .What is their lcm if their hcf is 6?

Answer 1

LCM
id 6...............

Answer 2

Answer:

The L.C.M. of both numbers is 858.

Step-by-step explanation:

It is given that two numbers are in the ratio 11:13.

Let the two numbers be 11x and 13x.

Highest common factor of 11x and 13x is x.

It is given that the H.C.F. of both numbers is 6, it means the value of x is 6.

$11\times 6=66$

$13\times 6=78$

Both numbers are 66 and 78.

$L.C.M.=6\times 11\times 13=858$

Therefore the L.C.M. of both numbers is 858.