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# How to Find the least common denominator.

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A walkthrough with 3 examples about how to find the LCD of multiple fractions.

Excerpt:

Write each denominator as a product of its prime factors, so: 15=3∙5 and 35=5∙7

List the shared factors each once and any leftover factors each once.

For example 15 and 35 share 5 as a factor, so I write 5 once and include the left over factors 3 and 7 in my LCD each once.
The LCD is 5∙3∙7=105
Therefore 105 is the smallest number that both 15 and 35 go into as factors.

This means I want to write both fractions with 105 in the denominator.

I can’t, however, just change it… I have to multiply by 1 and we need to write that 1 in the form of a specific fraction such as: 2/2,3/3,4/4,5/5,6/6,7/7…

The hard part is, we have to determine the number we want so we can pick the correct fraction to multiply by.
Total Pages
2 pages
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Teaching Duration
30 minutes
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