What is the least common multiply that will eliminate the denominator in 2+1 over 3 + x-3 over 4 = 1/6x

The least common multiple = 12x

Step-by-step explanation:

The given expression is,

(2+1)/3 + (x-3)/4 = 1/6x

To find the least common multiple

To eliminate the denominator we have to multiply each term by LCM  of denominators.

Here, the denominators are, 3, 4 and 6x

LCM ( 3, 4, 6x) = 12x

Therefore the least common multiple in which  eliminate the denominator is 12x