Some more info on the LAX-MEL sector as operated by the A380:
QF A380s almost always use Runway 24L to depart KLAX, simply because getting them over to the southern complex (25L/R) is a logistical nightmare.
This runway is approximately 1800ft (roughly 600m) shorter than 25R, which the majority of heavy departures use at KLAX. Also, it is not uncommon for 5kts of tailwind for late-night departures.
Yet another reason the Trents may be regularly operating at a very high thrust setting for this specific departure.