1つのアプローチは次のとおりです:
SELECT name, COUNT(1)
FROM ( SELECT name_1 AS name FROM mytable
UNION ALL SELECT name_2 AS name FROM mytable
UNION ALL SELECT name_3 AS name FROM mytable
UNION ALL SELECT name_4 AS name FROM mytable
UNION ALL SELECT name_5 AS name FROM mytable
) AS myunion
GROUP BY name
ORDER BY COUNT(1) DESC LIMIT 6
;
テーブルには何行ありますか?