homechevron_rightStudychevron_rightMath

Least Common Denominator for several fractions

Least Common Denominator for several fractions

Creative Commons Attribution/Share-Alike License 3.0 (Unported)

This content is licensed under Creative Commons Attribution/Share-Alike License 3.0 (Unported). That means you may freely redistribute or modify this content under the same license conditions and must attribute the original author by placing a hyperlink from your site to this work https://planetcalc.com/3499/. Also, please do not modify any references to the original work (if any) contained in this content.

Here we've already had calculator for lowest common multiple - The greatest common divisor and the least common multiple of two integers.
In case of fractions, lowest common multiple is, in fact, least common denominator. And sometimes you need to find least common denominator for more than two fractions.

Calculator to solve this task is right below:

PLANETCALC, Least Common Denominator

Least Common Denominator

Denominators

arrow_upwardarrow_downwardNumber
Items per page:

Least Common Denominator
 

There is a simple algorithm to do it:

  1. Find the maximum denominator.
  2. Check if you can perform integer division of this denominator by each other denominator.
  3. If you can, then you have found the answer - you've got your least common denominator.
  4. If you can't, multiply maximum denominator by 2.
  5. Check if you can perform integer division of this number by each other denominator.
  6. If you can, then you have found the answer - you've got your least common denominator.
  7. If you can't, multiply maximum denominator by 3.
  8. Check if you can perform integer division of this number by each other denominator.
  9. If you can, then you have found the answer - you've got your least common denominator.
  10. If you can't, multiply maximum denominator by 4, etc...
URL copied to clipboard
Creative Commons Attribution/Share-Alike License 3.0 (Unported) PLANETCALC, Least Common Denominator for several fractions

Comments