CREATE TABLE table_name_27 (league_cup INTEGER, total VARCHAR(255), championship VARCHAR(255), fa_cup VARCHAR(255))
Championship larger than 3, and a FA Cup smaller than 3, and a Total smaller than 6 involves what highest league cup?
    
SQL: SELECT MAX(league_cup) FROM table_name_27 WHERE championship > 3 AND fa_cup < 3 AND total < 6