As with a Craftsman opener, the Liftmaster uses a main Logic Board in the overhead unit that receives the signals and triggers opening of the door.
However, if your opener still operates normally from the wall control you might want to double-check that there is no inference or programming issue going. The wall control is wired directly to the Logic Board while the remote and keyless entry use radio signals but the same board processes both and opens the door so the issue might be in the reception of the signal and not the board itself. That could be damage to the antenna wire or interference to the signals or possibly the memory on the logic board is full and just needs to be reset and then reprogrammed to your remotes.
There is more information in the links below that might help, the information relates to Craftsman openers but many of the same principles will apply to your opener as well. You should be able to get more information specific to your exact model on the Chamberlain website.