We use the AdS/CFT correspondence to calculate two and three point functions for a class of chiral operators, including the primary ones, in d = 3, N = 8; d = 6, N = (2,0) and d = 4, N = 4 superconformal field theories at large N. These theories are related to the infra-red world-volume descriptions of N coincident M2, M5 and D3 branes,
respectively. The various cases are given a unified treatment by employing a gravitational action in arbitrary dimensions D, coupled to a p+1 form and suitably compactified on AdS(D-2-p) x S(2+p). The interesting cases mentioned above are obtained setting (D,p) to the
values (11,5), (11,2) and (10,3).