# How do you find the LCD of 11/6 and 3/10?

May 10, 2017

The LCD is $30$.

#### Explanation:

Find the LCD:

$\frac{11}{6}$ and $\frac{3}{10}$

Write the multiples of each denominator. The lowest multiple that they have in common is the LCD.

$6 :$$6 , 12 , 18 , 24 , \textcolor{red}{30} , 36 , 42 , 48 , 54 , 60 , 66 , 72. . .$

$10 :$$10 , 20 , \textcolor{red}{30} , 40 , 50 , 60. . .$

The LCD is $30$.

May 10, 2017

Write out the prime factors of the denominators of each fraction and find the product of the greater number of each factor.

#### Explanation:

LCD is the Lowest Common Denominator

For $\frac{11}{6}$ and $\frac{3}{10}$:

We are basically finding the lowest common multiple of 6 and 10.
Since $6 = 2 \cdot 3$ and $10 = 2 \cdot 5$, then our LCD would need one 2, one 3, and one 5. Therefore, the LCD is $2 \cdot 3 \cdot 5 = 30$