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

To find the next week in which all three coincide, look for the lowest common multiple of the numbers 2,3, and 6. Two has multiples of (2,4,6,8,10,12), three has (3,6,9,12,15,18), and 6 has (6,12,18,24). The lowest number that is common to all three values is 6, so Clea will attend all three in the same week 6 weeks from now.

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