Find the LCD 7/(15a^2) , 3/(10ab^3) , 1/(8b^2)

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: ${\displaystyle 15a^2}$

Second Term: ${\displaystyle 10a{b}^3}$

For variable ${\displaystyle a}$, ${\displaystyle a^2}$ has a greater power than ${\displaystyle a^1}$, so keep ${\displaystyle a^2}$.

Variable: ${\displaystyle b}$

Find the values of the numerical part of each term. Select the largest one, which in this case is ${\displaystyle 15}$. Multiply them together to get the current total. In this case, the current total is ${\displaystyle 150}$.

Current Total = ${\displaystyle 150}$

Multiply the numeric part of the denominators together.

Current Total = ${\displaystyle 15+15=30}$

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: ${\displaystyle 30a^2{b}^3}$

Second Term: ${\displaystyle 8b^2}$

For variable ${\displaystyle a}$, ${\displaystyle a^2}$ has a greater power than ${\displaystyle a^0}$, so keep ${\displaystyle a^2}$.

For variable ${\displaystyle b}$, ${\displaystyle b^3}$ has a greater power than ${\displaystyle b^2}$, so keep ${\displaystyle b^3}$.

Find the values of the numerical part of each term. Select the largest one, which in this case is ${\displaystyle 30}$. Multiply them together to get the current total. In this case, the current total is ${\displaystyle 240}$.

Current Total = ${\displaystyle 240}$

Multiply the numeric part of the denominators together.

Current Total = ${\displaystyle 30+30=60}$

Multiply the numeric part of the denominators together.

Current Total = ${\displaystyle 60+30=90}$

Multiply the numeric part of the denominators together.

Current Total = ${\displaystyle 90+30=120}$

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: