Find the Lowest Common Denominator - Step by Step Directions

Monday, May 23, 2022


How to find the LCD

When you add fractions the denominators of the fractions need to be equal.
For example, when you add 1/4 plus 1/2 you need to find a lowest common denominator.

Follow these steps to find the least common denominator.

Step 1. Create a factor tree for each denominator.

Step 2. Write the prime factors in a chart. ( You can see an example in the video)

Step 3. Multiply the prime numbers in the chart but if you have pairs of the prime numbers then only multiply one number.

Step 4. The sum of multiplying the numbers together is the LCD.

Step 5. Divide the LCD by the denominator and multiply the numerator by this answer. 

Example Problem

1/4 + 1/2

The LCD is 4
4/4 = 1 and 1 x 4 = 1 so you get 1/4

4 divided by 2 = 2
1 x 2 = 2 so you get 2/4

1/4 + 2/4 = 3/4




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