The biggest hurdle to qualifying for multiple loans is your debt-to-income ratio (i.e. a ratio of your monthly debt to your monthly income, including the potential loan). In most cases, lenders won’t approve you unless your ratio is 43% or below, although some may require as low as 30%.
If you do get approved, making a large down payment can help lower your monthly rates. Reducing other sources of debt, like outstanding credit card balances, can also help you pay off the new loan more quickly.