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Which floor was this?

Source: 2022 AIME II Problem 8

February 17, 2022
AIMEAIME II

Problem Statement

Find the number of positive integers n≤600n \le 600 whose value can be uniquely determined when the values of ⌊n4⌋\left\lfloor \frac n4\right\rfloor, ⌊n5⌋\left\lfloor\frac n5\right\rfloor, and ⌊n6⌋\left\lfloor\frac n6\right\rfloor are given, where ⌊x⌋\lfloor x \rfloor denotes the greatest integer less than or equal to the real number xx.
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