Note that Limit Breaks should become much, MUCH cheaper soon. One or two weeks if Nutaku follows DMM schedule.

Limit Breaks for Awakened Hime from zero to max cost:
Before -> After
14 Fangs -> 7 Fangs
10 SR Books -> 3 SR Books
10 SSR Books -> 6 SSR Books
270k Gems -> 270k Gems

Trivialities:
18 -> 7 Holy Crystal of Light (T3 Sacred Stone Shard)
15 -> 5 Holy Star of Light (T4 Sacred Stone Shard)
5 -> 3 T2 Lithograph
20 -> 8 Rune (T3 Lithograph)
8 -> 7 T2 Bone
10 -> 5 Idea Core
15 -> 10 Prison Idea Core (T2 Core)