On the average value of the least common multiple of $k$ positive integers

Titus Hilberdink, László Tóth

We deduce an asymptotic formula with error term for the sum ${\sum }_{n_1,\dots ,n_k\le x}f([n_1,\dots ,n_k])$, where $[n_1,\dots ,n_k]$ stands for the least common multiple of th…