[jeffreyH (OP)]

I know that particles are accelerated to close to the speed of light but exactly how close have they got?

[Bored chemist]

The protons each have an energy of 6.5 TeV, giving a total collision energy of 13 TeV. At this energy the protons have a Lorentz factor of about 6,930 and move at about 0.999999990 c, or about 3.1 metres per second (7 mph) slower than the speed of light
from
https://en.wikipedia.org/wiki/Large_Hadron_Collider