How about making a chart, with 4 columns
# A B C
1 L L L
2 R - -
3 L R -
4 R - R
5 L L -
6 R - -
7 L R L
8 R - -
9 L L -
10R - R
11L R -
12 R - -
13 L L L , AHHH, all left feet on 13th step
step # when Alice will be left footed
1 3 5 7 9 11 13 15 ... (every 2nd step)
step # when Beth will be left-footed
1 5 9 13 17 ... ( every 4th step)
step # when Charlene will be left-footed
1 7 13 19 ... (every 6 steps)
first common number is 13
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