It is integral to the whole F1 thing, an entity called Formula One Management arranges contract with several airlines to get the stuff from one place to the other. Having contracts with several airlines allows them to keep the costs down. There would typically be 7 freighters for each move.
Exception is within Europe where they use land transport.
Interesting tit-bit.. they typically use their own containers which are built on a traditional aviation pallet (96 x 125ins). The airline I used to work for was not keen to accept these as the pallets are certified as a unit (with pallet net), the fix was to drape a net over the whole unit to fulfil the letter of the law.
Second titbit... I did a flight ex-KUL where they had LD3s which were listed as 1588kgs each which is exactly the max permissable weight for an LD3. Total for lower hold was 9 pallets and 2 LD3s which was maximum for a 742F. Problem is even though the max weight for one LD3 is 1588kgs, the max weight allowed for a pair of LD3s is 3175kgs, not 1588 x 2 which is actually 3176kgs!
This resulted in some scratching of heads !
Having said that, they were quite a proffessional lot and could resolve issues on the spot and shuffle the loads among the various flights.
Anil