A multiple of $$3$$, $$4$$, and $$5$$ is a multiple of $$60$$, and $$16\times60\textless{}1000 \textless{}17\times60$$. 
Of the integers from $$1$$ to $$1000$$, how many are multiples of $$3$$, $$4$$, \emph{and} $$5$$? 
  - $$14$$ 
  - $$15$$ 
  - $$16$$ 
  - $$17$$ 