Find the LCD 3/(4x) , 7/6 , 17/(18x)

For each instance of a variable included in the terms, compare the power of the variable in term one with the power of the variable in term two. Return the variable with the larger exponent.

First Term: ${\displaystyle 4x}$

Second Term: ${\displaystyle 6}$

For variable ${\displaystyle x}$, ${\displaystyle x^1}$ has a greater power than ${\displaystyle x^0}$, so keep ${\displaystyle x^1}$.

x

Find the values of the numerical part of each term. Select the largest one, which in this case is ${\displaystyle 6}$. Multiply them together to get the current total. In this case, the current total is ${\displaystyle 24}$.

Current Total = ${\displaystyle 24}$

Multiply the numeric part of the denominators together.

Current Total = ${\displaystyle 6+6=12}$

Check each value in the numerical part of each term against the current total. Since the current total is evenly divisible, return it. That is the least common denominator of the numerical part of the fraction.

Multiply all saved numbers and variables and their powers together:

For each instance of a variable included in the terms, compare the power of the variable in term one with the power of the variable in term two. Return the variable with the larger exponent.

First Term: ${\displaystyle 12x^1}$

Second Term: ${\displaystyle 18x}$

For variable ${\displaystyle x}$, ${\displaystyle x^1}$ and ${\displaystyle x^1}$ have the same power, so keep ${\displaystyle x^1}$.

x

Find the values of the numerical part of each term. Select the largest one, which in this case is ${\displaystyle 18}$. Multiply them together to get the current total. In this case, the current total is ${\displaystyle 216}$.

Current Total = ${\displaystyle 216}$

Multiply the numeric part of the denominators together.

Current Total = ${\displaystyle 18+18=36}$

Check each value in the numerical part of each term against the current total. Since the current total is evenly divisible, return it. That is the least common denominator of the numerical part of the fraction.

Multiply all saved numbers and variables and their powers together: