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5Question: What is the least common multiple of 18, 24, and 36, and how does this relate to scheduling overlapping tasks in a companys daily operations, ensuring no task overlap?
Solution: To find the least common multiple (LCM) of 18, 24, and 36, we first perform prime factorization:
This means that if each task repeats every 18, 24, and 36 minutes respectively, the earliest time they all align again is after 72 minutes. In a companys scheduling, this helps ensure no overlapping tasks by identifying the first common cycle time.