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.

fig36e

Modern Formulation

see least common multiple of more than two numbers.

Proofs: 1

Proofs: 1 2


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References

Adapted from (subject to copyright, with kind permission)

  1. Fitzpatrick, Richard: Euclid's "Elements of Geometry"

Adapted from CC BY-SA 3.0 Sources:

  1. Prime.mover and others: "Pr∞fWiki", https://proofwiki.org/wiki/Main_Page, 2016