Of the integers from $$1$$ to $$1000$$, how many are multiples of $$3$$, $$4$$, \emph{and} $$5$$? 
Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Basic Concepts of Factors and Multiples
A multiple of $$3$$, $$4$$, and $$5$$ is a multiple of $$60$$, and $$16\times60\textless{}1000 \textless{}17\times60$$. 