
I assume your lights are LEDs?
If so - there are many ways in which LED's are dimmed or have their intensity controller, one of them is to modulate them at a certain frequency. Its quite common for this frequency to be something else other than 50 or 60hz.
The issue is with your lights, not the camera.
I recommend using tungsten based lights instead.
You might never find a shutter angle which is synchronised with the lights, and doing so anyway will change the cadence of the footage and exposure too.
If your lights have several settings, see if there is a lower or higher intensity which gives you a more favourable strobe frequency,