Word problem? Please help!!?

It is degree day at Moo U., and the cows are waiting patiently to receive their degrees. The university clerk is watching as each graduate shakes hoofs with the university president. The clerk notices that every third candidate receives a BBA (Bachelor of Bovine Arts), every seventh graduate receives a CCD (Doctorate of Cud-Chewing) degree, every fourteenth a BS (Beef Science) degree, every ninth an HHA (Honorary Hoof Award), and every twenty-first an MA (Moo Award). Any cow who receives all five degrees and awards will win the coveted UB (Udderly Brilliant) award. How many cows out of the 260 graduating cl will receive the UB award?