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5c = 45 \Rightarrow c = \frac{45}{5} = 9
Thus, the number of clay particles is \(\boxed{9}\).Question: A hydrologist is analyzing rainfall data over 7 consecutive days. If the total rainfall recorded is 140 mm, and each day's rainfall is a positive integer in millimeters, what is the maximum possible value of the least common multiple of the 7 daily rainfalls?
To maximize the least common multiple (LCM) of 7 positive integers that sum to 140, we aim to distribute the total among the 7 numbers in such a way that their LCM is maximized. The LCM of a set of numbers is maximized when the numbers are pairwise coprime or have high prime powers.

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