I eat 12 raw eggs every day. 6 at two different times. It ensures that the protein isn't denatured like Nelson said. And the risk is actually 1 in 30,000 that you will get sick. That risk doesn't change just because you eat 3 at a time. It's 1 in 30,000 for each egg.
Staying with organic or cage free eggs is your best bet especially since they don't cost that much more. They really do taste better too.