Answer:
30 weeks after the last time he had all 3 games, possibly this week
Step-by-step explanation:
The least common multiple of 2, 5, and 6 is 5×6 = 30. (6 is already a multiple of 2)
Michael's game schedule will repeat every 30 weeks.
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Since we don't know the last time Michael had 3 games together, we cannot tell the next time that will happen. The earliest it could be is this week.