Brassman66
CGN frequent flyer
The most common machines are the Lyman and RCBS units. The dies for them are mutually compatible, which is nice. They are sometimes known as H&I sizing dies.
The original Lyman was the model 45. Improved first to the model 450, then the current model 4500.
The RCBS was the Lube-a-Matic, now the Lube-a-Matic 2.
As I found out the hard way:
My Lubesizer is an original 45. While both the Lyman H&I and the RCBS Resizing Dies fit my Lubesizer, the RCBS Dies wont lock in because the Grove for the holding setscrew is at the wrong elevation.
Cheers