Lt. Bosch customer service is the difference really only in the accessories. Since the MUM54251 the dicer is apparently also going this seems to be very attractive offer. As a difference to me the disc carrier is noticed. After feedback from the Bosch customer service can be used for the wheel carrier of MUM54251 only the dicer and the three supplied friction. When disc carrier of MUM56S40 and MUM56340 than Equipment MUZ45AG1 - Aisa vegetable disc, MUZ45FV1 - Juicer intent, MUZ45KP1 - potato pancakes Rosti disc, MUZ45LS1 - perforated disc set, MUZ45PS1 - french fries-disc MUZ45RS1 - friction and MUZ45RV1 grater attachment possible. Please revise In more recent information.