I am not an expert but I believe you will need to change the magazine, bolt face, and be sure to pick the right barrel shank. The Short mags, and nearly all the Ultra mags are Large Shank. The other long actions are standard shank with the exception of some target actions. Below is a link with pretty good pricing on Shilen/Savage barrels. They give the measurements of each shank.
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By the way you can send them a dummy round based on your magazine length and preferred bullet and they will throat the barrel to match your specs for no additional cost.