CREATE TABLE table_79911 ("Name" TEXT, "Period" TEXT, "League" FLOAT, "FA Cup" FLOAT, "League Cup" FLOAT, "Other" FLOAT, "Total" FLOAT)

What is the lowest number of League Cups a player with a 434 league has?
SELECT MIN("League Cup") FROM table_79911 WHERE "League" = '434'
SELECT MIN("League Cup") FROM "table_79911" WHERE "League" = '434'