Just be aware that a 4 jaw chuck is a relatively heavy chuck and needs a powerful motor to turn it, the LMS 4 jaw chuck that I have was bought from a member here (Roycess , may he rest in peace) who could not use it due to the smaller HF mini lathe that he owned, it is working alright on my LMS lathe but it still takes a few seconds longer to come to full speed or to a dead stop.
LMS is the best source of info for you as you already know, the LMS chuck I have is also sold with or without a back plate