Proposition VII.36 — Given three numbers, to find the least number which they mea…

Proof

Compute

lcm (a, b)

by VII.34, then

lcm

of that with

c

. By VII.35 the result is the least common multiple of all three.

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Depends on (2)

VII.34Proposition VII.34Given two numbers, to find the least number which they measure.
VII.35Proposition VII.35If two numbers measure any number, the least number measured by them will also measure the same.

Required by (dependents) (1)

VII.39Proposition VII.39To find the number which is the least that will have given parts.

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