Proposition VII.39 — To find the number which is the least that will have given p…

Proof

Take the lcm (VII.34, VII.36) of the prescribed denominators; that is the smallest number containing all the prescribed parts.

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Depends on (2)

VII.34Proposition VII.34Given two numbers, to find the least number which they measure.
VII.36Proposition VII.36Given three numbers, to find the least number which they measure.

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