Thank you all so much for your replies. Yes, the motherboard is the one from the theretroweb link.
The reason I would like to removed the CPU and replaced it with another one is because the cache memory isn't working. There isn't much information about the motherboard, but the cache memory jumper settings are printed directly on the board, and I can't get it to work, even after replacing all the 32kx8 ICs, it has for the 256KB cache.
When I say the cache isn't working, I mean that when I use the DOS cachechk utility, the cache timings are the same as the main memory, and even worse with some memory settings. I don't understand this. It only happens with this motherboard. But it's worse because the CPU's internal cache (8K of the 486) is nonexistent. It has the same timings as the rest of the memory. I thought the CPU must be faulty; I can't think of any other explanation.
That's why I wanted to remove the CPU and replace it with another one to see if it makes a difference. If anyone has any other suggestions, please let me know.