We apply the multiplicative arithmetic functions strategy to sequences defined by linear two-term recurrences. We associate Fibonacci numbers with Dirichlet convolution and Lucas numbers with unitary convolution. Some Fibonacci-Lucas sums are shown as applications by using the Kesava Menon quasi-distributive law (a distributive-like property of Dirichlet convolution over unitary convolution) and the Fibonacci-Lucas quotients under the Dirichlet and the unitary convolutions.