Question

Clea attends music lessons every 2 weeks, dance class every 3 weeks, and has a dental appointment every 6 weeks. If she attends all three this week, when will she attend all three again

Answer 1

In 6 weeks.



For this problem, you need to determine the least common multiple of the numbers given which is 2, 3, and 6. You can calculate the LCM of multiple numbers by pairs.



The LCM of 2 and 3 is 6 because 6 is the smallest possible number that can be evenly divided by both 2 and 3.



Now you need the LCM of 6 and 6. Which is also 6, because 6 is the smallest number that can be evenly divided by 6.



So the LCM of 2, 3, and 6 is 6. So in 6 weeks, Clea will once again have a music less, attend dance class, and have a dental appointment, all during the same week.