Alex, again, unless you are going to put a really high wattage bulb in the ceiling, LED and/or incandescent bulbs just won't do much. Remember, lumen-output is based on the bulbs surface, not a foot and certainly not 6 feet or more away. The lumens drop substantially the further from the bulb you are. Multi-tube, fluorescent fixtures produce far more lumens, but the T-12 fixtures would need full-spectrum or daylight tubes, something like Duro-lite tubes (if you can find this) or T-8 Vita-lite tubes. T-5HO tubes produce the most lumens.
In my opinion, you will need to rotate your little fiddle plant every few days so that all those huge leaves get some of the light from that LED bulb. I am not sure which LED bulb you have, but about the most lumens from one of the more expensive ones is around 1500 lumens. Just to give you a comparison, one of my 8-tube, T-5HO fixtures produced around 20,000 lumens.