3 palaces, each rotating on a duck leg
Source: (2021-) 2022 XV Dürer Math Competition Finals Day2 E3
December 1, 2022
algebranumber theory
Problem Statement
Three palaces, each rotating on a duck leg, make a full round in , , and days, respectively. Today, at noon, all three palaces face northwards. In how many days will they all face southwards?