Some marks are drawn along the track for Sports Day. Starting from the starting line, there is a red mark every $$5$$ metres, a blue mark every $$10$$ metres and a green mark every $$12$$ metres. When the athletes first reach a point where all $$3$$ marks are drawn together at the same place, how far away would they be from the starting line? 
Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples