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Home » Fish Skeleton Secrets Revealed! This Mystery Has Scientists Franted! - Moon Smoking

Fish Skeleton Secrets Revealed! This Mystery Has Scientists Franted! - Moon Smoking

📅 May 15, 2026 👤 scraface

May 15, 2026

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📌 Solution: To find the smallest positive integer divisible by both 7 and 5, we compute the least common multiple (LCM) of 7 and 5. Since 7 and 5 are coprime, their LCM is simply their product:

📌 \text{LCM}(7, 5) = 7 \times 5 = 35

📌 Therefore, the smallest positive integer divisible by both 7 and 5 is

📌 \boxed{35}

📌 Question: A palynologist collects pollen samples from 12 different regions. If she wants to group the regions into clusters such that each cluster contains the same number of regions and the number of clusters is more than 1 but fewer than 6, what is the largest possible number of regions in each cluster?

📌 Solution: We are given that the total number of regions is 12, and the number of clusters must be an integer between 2 and 5 inclusive. We want to maximize the number of regions per cluster, which means minimizing the number of clusters (while satisfying the constraints).

📌 The possible number of clusters is 2, 3, 4, or 5. We compute the corresponding number of regions per cluster:

📌 2 clusters: $12 \div 2 = 6$ regions per cluster

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