Question

Kymani, Devonte, and Ella are going to a rehearsal, but on different days.Kymani is going on the second day. Devonte is going on the sixth day. Ellais going on the eighth day. If they keep going like this, when will they be attheir rehearsal on the same day?

Answer 1

The least common multiple of the rehearsal days for Kymani (2), Devonte (6), and Ella (8) is 24; hence, they will all have rehearsal on the same day, the 24th.

Step-by-step explanation:

To determine when Kymani, Devonte, and Ella will attend their tech rehearsals on the same day, we are looking for the least common multiple (LCM) of the numbers 2, 6, and 8. This requires us to calculate which day will be the first where all three rehearsal schedules align.

Finding the LCM involves the following steps:

1. Listing the multiples of each number until at least one common multiple is found.
2. 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24...
3. 6: 6, 12, 18, 24, 30, 36...
4. 8: 8, 16, 24, 32, 40...
5. Identifying the least (smallest) multiple that all three lists have in common.

In this case, the first common multiple that appears in all three lists is 24. Therefore, Kymani, Devonte, and Ella will all attend their rehearsal on the same day, the 24th day.