Another interpretation: "peace-offerings" (shelamim) - that all are made whole (meshulamim) through them: the blood and the fats go to the altar, the breast and the thigh to the priests, the hide and the flesh to the owners.
The Peace Offering in Which Everyone Receives a Share
Yalkut Shimoni on Torah 458:2
דָּבָר אַחֵר שְׁלָמִים שֶׁהַכֹּל מְשֻׁלָּמִים בָּהֶם, הַדָּם וְהָאִמּוּרִים לַמִּזְבֵּחַ, וְשׁוֹק לַכֹּהֲנִים, הָעוֹר וְהַבָּשָׂר לַבְּעָלִים.