Converting between Liters and Moles using the Factor Label Method
This is the method of choice since you can use it to convert between any units (mols to grams, molecules to mols, etc) as long as you know the conversion factor. Successful scientists use the factor label method (also called dimensional analysis).
An Alternative Method
Often students are taught to convert between liters and moles conversions by multiplying or dividing by 22.4 L/mol. This video provides information and practice on that approach.
Another example: Convert 3.7 moles of a gas to liters.