From the comments, it seems that the issue with LAX relates to the length of the runways.
LAX
6L/24R 8,925
6R/24L 10,285
7L/25R 12,091
7R/25L 11,096
SYD
07/25 8,301
16L/34R 7,999
16R/34L 12,999
MEL
09/27 7,500
16/34 11,998
LHR
09L/27R 12,799
09R/27L 12,008
SIN
02L/20R 13,123
02C/20C 13,123
I'm not sure I'm seeing the problem here... 7L/25R at LAX is longer then MEL's longest (16/34).