Below is an instruction that describes a task. Write a response that appropriately completes the request.

### Instruction:
What is the lowest league cup goals for the entry with fa cup goals greater than 0 and FA cup apps larger than 2?

### Inputs:
table_name: table, columns: ['Name', 'Position', 'League Apps', 'League Goals', 'FA Cup Apps', 'FA Cup Goals', 'League Cup Apps', 'League Cup Goals', 'Total Apps', 'Total Goals']

### Response:
SELECT MIN League Cup Goals FROM table WHERE FA Cup Goals > 0 AND FA Cup Apps > 2