I can do this problem long hand, but was wondering if there were an easier way to do it with LCM's
Earth's space colony will be floating through the area between Mars and Jupiter. There are five asteroids, named Alpha, Beta, Cephalon, Delta, and Erthon, that will occasionally orbit the colony. The scientists are advising everyone to stay inside during any time that more than one of these asteroids orbits the colony at the same time. Alpha will orbit every 6 days, Beta every 4 days, Cephalon every 9 days, Delta every 12 days, and Erthon every 18 days. How many days will the inhabitants of the space colony have to spend inside in the next 144 days?