Question

if two numbers are in the ratio 3:4 there lcm is 180 find the numbers

Answer 1

Let Numbers Be 3k and 4k

Hence, By Prime Factorization

3k = 3*k
and, 4k = 4*k

Hence, LCM of 3k and 4k = k*3*4 = 12k
But, We are Given that LCM = 180

Hence, 12k = 180
          so, k = 15

So, Numbers are 3*15 = 45
      and, 4*15 = 60 

Answer 2

let the numbers be 3x and 4x .
we know that the lcm of 3 and 4 is 12.
12=180
1=180/12=15
number are =3x=45 and 4x =60
hope it will help you.