The best month to fly between Fukuoka and Tokyo is January and the most expensive month to fly is September. (Average prices, based on 1411 datapoints.)
The best day to arrive at Fukuoka is Tuesday and it would be best to avoid Friday, as prices are on average 60.2% higher than on Tuesday. (Average prices, based on 541 datapoints.)
The best time to fly is at around 9. (Average prices, based on 1902 datapoints.)