SCHEMA:
CREATE TABLE table_name_27 (league_cup INTEGER, total VARCHAR, championship VARCHAR, fa_cup VARCHAR)
USER:
Championship larger than 3, and a FA Cup smaller than 3, and a Total smaller than 6 involves what highest league cup?

QUERY:
SELECT MAX(league_cup) FROM table_name_27 WHERE championship > 3 AND fa_cup < 3 AND total < 6