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Family Travels

Now there are three sisters who leave home together.  The eldest returns once every 5 days, the second returns once every 4 days, and the youngest returns once every 3 days.  Find the number of days before the sisters meet together again.

Sunzi suan jing (Mathematical Classic of Master Sun), Sunzi, c. 400 CE

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"Family Travels," Convergence (March 2007)