660 is the min for a 5% down deal Liezza!
You would need a 700 for a 3% down unless going FHA in which case 620 is fine.
Some lenders have their own internal overlays and as such it is not uncommon to see some lenders with different Fico requirements.
**Also Liezza, keep in mind that there are adds to the base rates for a 660 fico as well.
For example, the add today for a 660 fico for a 95% LTV deal is 2.75% points which will put you at a rate of 4.50% on a 30-year fixed.
I would strongly advise you take a look at FHA. Rate today is 3.75% on a 660 fico (apr 3.812%). At 3.75% today, I am paying you a lender credit of (.375%).
Something to consider.....
Of course if I were you, I would call me at 916-813-4003. I can walk you through the process and make sure you get the service you deserve!