All three can be used, but the IRS default is FIFO.
"If you can't adequately identify the shares you sold and you bought the shares at various times for different prices, the basis of the stock sold is:
- The basis of the shares you acquired first, then the basis of the stock later acquired, and so forth (first-in first-out). Except for certain mutual fund shares and certain dividend reinvestment plans, you can't use the average basis per share to figure gain or loss on the sale of stock." How do I figure the Cost Basis
Also see: How do I calculate the average basis for the sale of mutual fund shares?
Regardless of which method you use. be sure to maintain the documentation.
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