Why do I love 2015 so much #5

We take a $4×4×4$ Rubik's cube in the solved state and with that configuration, we perform a sequence of moves $R'FRU$ , 2015 times in the same order to bring about another configuration (say $A$ ) in the cube.

How many times do we have to perform the same sequence of moves $R'FRU$ so as to bring the cube from the configuration $A$ into the solved state again?

Details and Assumptions

• $R' \rightarrow$ Outer Right layer rotated anti-clockwise.

• $F \rightarrow$ Outer Front layer rotated clockwise.

• $R \rightarrow$ Outer Right layer rotated clockwise.

• $U \rightarrow$ Outer Upper layer rotated clockwise.