Find the LCD 5/(4ab) , 3/(10bc)

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: ${\displaystyle 4ab}$

Second Term: ${\displaystyle 10bc}$

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

a

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

b

Variable: ${\displaystyle c}$

c

Find the values of the numerical part of each term. Select the largest one, which in this case is ${\displaystyle 10}$. Multiply them together to get the current total. In this case, the current total is ${\displaystyle 40}$.

Current Total = ${\displaystyle 40}$

Multiply the numeric part of the denominators together.

Current Total = ${\displaystyle 10+10=20}$

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: