As an example, let's consider the magnetic moment of the proton. It's a rather esoteric measurement. The proton acts as a tiny magnet, and some researchers wanted to know exactly how strong of a magnet. So, they set up a strong magnetic field and looked to see how the proton behaved. They ended up finding two different values.
As it turned out, those two different values were the result of electrons getting in the way of the measurement. As it turned out, there were two different chemical environments in the molecule being studied, and that caused the two different values. The chemists loved it, because then they could directly measure the electron density.
Then the doctors realized that the chemists had an awesome tool. They could use it to measure the concentration of water inside a patient's body. Bam, MRI.
All this from esoteric primary research.
It's confirming evidence of the Standard Model. It's kind of like checking for your chair for a thumb tack, when you work in an office of pranksters -- if there isn't a thumb tack, was there any benefit to checking? Maybe, but you probably wouldn't say that if there was. If the standard model fell, there would be implications that we could probably engineer around up to and including utilizing nonlinear aspects of particle interactions to build computers with. But alas, it confirmed the model.
Also the standard model has implications on the nature of dark matter and dark energy, which in turn have implications on the likelihood that we get clobbered by a random piece of space rock. Of course even if we did know this to a better degree...it's unclear whether that's a benefit or not. I'm assuming for the purposes of this comment however that knowing our degree of mortality is a benefit, but ymmv.
In general, the more tangible benefits of lhc are probably going to come from stuff related to anything in https://en.wikipedia.org/wiki/Physics_beyond_the_Standard_Mo..., and nanoengineering efforts yet to come.
All of these technologies based directly on fundamental research came years or decades after the discoveries. Science is often a game of patience.
There is also research being performed at cern into new superconductors and new ways of coating various materials with thin layers.(as a direct resut of building the LHC).