Floor fraction of multiple of 3

Algebra Level 4

\[\left \lfloor \frac{2}{1}\times\frac{5}{4}\times\frac{8}{7}\times\frac{11}{10}\times\cdots\times\frac{2015}{2014}\times\frac{2018}{2017} \right \rfloor = \, ? \]

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