The Marlin Levermatic was a family of lever action rifles created by Marlin Firearms

Marlin Firearms

Marlin Firearms Co., formerly of North Haven, Connecticut, is a manufacturer of high power, center fire, lever action, and .22 caliber rimfire rifles. In the past, the company made shotguns, derringers and revolvers...

 in the 1950s. The Levermatic differed from the traditional lever-action rifle, such as the Marlin 39A, in that it employed a cam-and-roller system giving it an extremely smooth and short lever motion to reload a new cartridge.

This cam-and-roller system was originally invented by Kessler Arms Company for their "Lever-Matic" shotgun. Following Kessler's dissolution, Marlin licensed the idea and began producing rifles using a similar design.

The Levermatic system was used in the following rifle models:

• Marlin 56: .22LR, box magazine (1955-1964)
• Marlin 57: .22LR, tube magazine (1959-1965)
• Marlin 57M: .22 Winchester Magnum Rimfire (1959-1969)
• Marlin 62: .256 Winchester Magnum
  .256 Winchester Magnum
  The .256 Winchester Magnum was a firearms cartridge developed by Winchester, and was produced by necking-down a .357 Magnum cartridge to .257 diameter. It was designed for shooting small game and varmints. Introduced in 1960, Winchester offered ammo and reloading components into the early 1990s....
  
   and .30 Carbine
  .30 Carbine
  The .30 Carbine is the cartridge used in the M1 Carbine introduced in the 1940s. It is an intermediate round designed to be fired from the M1 carbine's 18-inch barrel.-History:...
  
  (1963-1969)

Sources

• Malloy, John. Marlin’s Levermatic Rifle Line Offered Untraditional Design. New Gun Week, Vol. 40 Issue 1811 - Jan. 1. 2005.