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📅 May 4, 2026 👤 scraface

May 04, 2026

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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.

📌 Question: What is the probability that a randomly chosen positive integer less than or equal to 60 is a factor of 120, and how might this relate to distributing resources evenly among teams?

📌 Solution: To determine the probability, we first count the positive divisors of 120 that are less than or equal to 60. The prime factorization of 120 is:

📌 The total number of positive divisors is:

📌 All 16 divisors of 120 are less than or equal to 60 (since 120 itself is excluded). Therefore, there are 16 favorable outcomes out of 60 possible integers:

📌 This represents the chance of randomly selecting a manageable number of resource units (dividing evenly among teams) without overloading any individual team.

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