I do not know but thumbing through my reloading manual. It shows the 257 Weatherby Mag having the same rim head diameter as the 340 at .531. The 240 Weatherby has a smaller .473 head size. The overall length of the 257, 270 and 7mm Weatherbys are 2.549 inches the 340 is longer at 2.825 inches. The 300 and 340 Weatherbys have the same overall length of 2.825 inches.