Floor fraction of multiple of 3

Algebra Level 4

21×54×87×1110××20152014×20182017=?\left \lfloor \frac{2}{1}\times\frac{5}{4}\times\frac{8}{7}\times\frac{11}{10}\times\cdots\times\frac{2015}{2014}\times\frac{2018}{2017} \right \rfloor = \, ?

Notation: \lfloor \cdot \rfloor denotes the floor function.

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