Desired sample rate to best sample rate for mini v2

CGEN range is 5-640 MHz
Sample rate equation is: sampleRate = CGEN/(4 * oversampling)
So to get your 274285Hz sample rate, the oversampling has to be at least 8, to bring CGEN into supported range.
Calling LMS_SetSampleRate(device, 274285, 8); will give your requested rate.