Firstly the question is pretty vague as you haven’t mentioned the parameters for comparison between IIM Calcutta, IIM Lucknow, and FMS Delhi. Yet I have included some factual comparisons between the three.
FMS is the oldest as it was established in 1954, IIM Calcutta in 1961, and IIM Lucknow in 1984.
FMS and IIM Calcutta offer only one MBA program (2 years) whereas IIM Lucknow offers 3 PGP, PGP-ABM, and PGP-SM.
The order for the batch size of the three colleges is IIML>IIMC>FMS Delhi.
Both the IIMs i.e. IIM Calcutta and IIM Lucknow are autonomous institutions where FMS Delhi is a department of the University of Delhi.
Fees for IIM Calcutta: INR 2700000, IIM Lucknow: INR 19.25 Lakhs, FMS Delhi: 1.92 Lakhs
The specialty of IIM Calcutta is finance, FMS Delhi is Marketing and IIM Lucknow is operations.
All this comparison is based on actual facts and not my personal opinion.