Olympus E-M5 II has a Micro Four Thirds lens mount and currently there are 105 native lenses available for this mount.
E-M5 Mark II also has a sensor based image stabilization system which means that all of these lenses will be stabilized when used on E-M5 Mark II.
Since Olympus E-M5 II has a Four Thirds sensor, it has a focal length multiplier of 2x so you have to multiply lenses original focal length with this multiplier to find the Full Frame equivalent focal length of the lens when mounted on E-M5 Mark II.
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Olympus E-M5 II Lenses with Image Stabilization
Olympus E-M5 II Lenses with Weather Sealings