While the 7 LRM and the 7mm/375 Ruger are both made from the same parent case, the 375 Ruger, they have different dimensions.
The 7 LRM is the 375 Ruger necked down with the shoulder moved back approx. .215" for dimension of 1.965" base to shoulder. The length of cartridge is 2.514" The setback of the shoulder lengthens the neck to .382"
The 7mm/375 Ruger has the same shoulder distance as the 375 Ruger, 2.180" from base to shoulder. Length of cartridge is 2.580" Neck length gets shortened from the 375's .305" length to .250"
Dimensions for 7MM LRM found here:
http://site-media.net/gunwerks/7LRMarticle(1).pdf
Dimensions for 7mm/375 Ruger taken from the brass I am currently using.
Dimensions for 375 Ruger found here:
http://en.wikipedia.org/wiki/.375_Ruger