Florist's Wedding Arrangements

A florist is preparing arrangements for a wedding. She has 120 roses, 75 lilies, and 60 daisies. The wedding planner requests four types of arrangements: each arrangement should contain double the number of roses as lilies, and half the number of daisies as lilies. If the florist wants to make as many complete arrangements as possible without any leftover flowers, how many arrangements can she create?

Let r be the number of roses, l be the number of lilies, and d be the number of daisies in each arrangement. The relationships can be described by the equations: $r = 2l$ and $d = \frac{1}{2}l$.