The ratio of two numbers is 3:4 and their H.C.F. is 4. Find their L.C.M.
since the numbers are in the ratio 3:4 then let the numbers be 3 x and 4 x .
Thus the H.C.F. of the two numbers = x .
But the H.C.F is given as 4.
So, x = 4.
So, the numbers are,
3x = 3 x 4 =12
And
4x = 4 x 4 = 16
We know,
H.C.F x L.C.M = Product of the two numbers
4 x L.C.M = 12 x 16
L.C.M = 48
Thus, the L.C.M of 12 and 16 is 48.