For the LNA, you can plot the gain and noise circles on the smith chart. Usually, the max gain point and the min noise point do not occur at the same spot on the smith chart. You can pick somewhere in between these two points to do your impedance match, so that you have tradeoff between noise and gain performances. Sometime to bring the max gain and min noise points closer together on the smith chart, you can try to scale the device size. But if that is not an option, you can change the bias or try tuning an inductor at the emitter/source, assuming it is a common-emitter/common-source amplifier.