Proposition: 7.36: Least Common Multiple of Three Numbers
(Proposition 36 from Book 7 of Euclid's “Elements”)
To find the least number which three given numbers (all) measure.
* Let $A$, $B$, and $C$ be the three given numbers.
* So it is required to find the least number which they (all) measure.
see least common multiple of more than two numbers.
Table of Contents
Proofs: 1 2
Adapted from (subject to copyright, with kind permission)
- Fitzpatrick, Richard: Euclid's "Elements of Geometry"
Adapted from CC BY-SA 3.0 Sources:
- Prime.mover and others: "Pr∞fWiki", https://proofwiki.org/wiki/Main_Page, 2016