Minimums vary by loan program — and the score that gets you approved isn't always the score that gets you the best rate.
Typically 620 minimum, though your rate and PMI cost generally improve meaningfully as your score climbs into the 700s and above.
As low as 500 with 10% down, or 580 with 3.5% down, though individual lenders often set higher overlays than FHA's published minimums.
The VA itself doesn't set a strict minimum, but most lenders look for a score in the high 500s to low 600s or better.
Often 700 or higher, along with larger reserve requirements, given the loan amounts involved.
If your score needs work before you buy, common levers include paying down revolving balances, avoiding new credit inquiries or accounts right before applying, and correcting any errors on your credit report. A quick review with a lender can often identify the fastest path to a meaningfully better rate.