The purpose of this study is to establish a safe and tolerable dose of arlocabtagene autoleucel (BMS-986393) in combinations with alnuctamab, mezigdomide, iberdomide, and elranatamab in participants with relapsed and/or refractory multiple myeloma (RRMM).
History of relapsed and/or refractory multiple myeloma (RRMM) treated with at least 3 (Part 1), history of RRMM or at least 1 but not greater than 3 prior anti-myeloma treatment (PAMT) regimens (Part 2, Arms A, B, C, and D); history of quadruple class exposed RRMM having received BCMA TCE as the most recent line of therapy (Part 2, Arm E).
Measurable multiple myeloma (MM) as per International Myeloma Working Group (IMWG).
Eastern Cooperative Oncology Group performance status of 0-1.
Adherence to contraception requirements.
Prior treatment with alnuctamab (Arm A), mezigdomide (Arms B and E), iberdomide (Arm C), elranatamab (Arm D) or BCMA-targeting therapy (Part 2 Arms A and D).
Prior treatment with GPRC5D-targeting therapies as of Protocol Amendment 02 (Part 1 and Part 2).
Other protocol-defined inclusion/exclusion criteria apply.