Slice the mangos in half around the large seed in the middle. Scoop out the flesh with a spoon, and place it in the bowl of a food processor fitted with a blade.
Add all the rest of the ingredients to the bowl, and whirl the processor like crazy. If you don't have a food processor, I'm sure a blend would work fine too.
Chill for at least an hour before serving, but I find the flavors to be best when chilled overnight.