Olympus E-M10 II has a Micro Four Thirds lens mount and currently there are 78 native lenses available for this mount.
E-M10 II also has a sensor based image stabilization system which means that all of these lenses will be stabilized when used on E-M10 II.
Since Olympus E-M10 II has a Four Thirds sensor, it has a focal length multiplier of 2× 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-M10 II.
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Olympus E-M10 II Lenses with Image Stabilization
Olympus E-M10 II Lenses with Weather Sealings