(I used to own a LotR)

LotR has three different "main" multiball modes (one for each movie), as well as the Gollum multiball (just 2 balls, normally). The Fellowship multiball is the one that requires hitting essentially every shot on the table.

The particular thing about LotR is that the multiballs can be stacked with the "story" modes (from shooting the center ring). Depending on how flaily you are, this can make the story modes easier or harder, but generally I find that it makes them safer if you have enough ball control. When my overarching goal was to reach Valinor (which requires beating a certain number of story modes, as well as all the multiballs), the general strategy was to spam Two Towers multiball as much as possible on top of a story mode.