Question 19
Let $L_n$ denote the least common multiple of the numbers $1,$ $2,$ $3,$ $\ldots,$ $n,$ and let $h$ be the unique positive integer such that $$
\dfrac{1}{1} + \dfrac{1}{2} + \dfrac{1}{3} + \cdots + \dfrac{1}{17} = \dfrac{h}{L_{17}}
$$ What is the remainder when $h$ is divided by $17?$
\dfrac{1}{1} + \dfrac{1}{2} + \dfrac{1}{3} + \cdots + \dfrac{1}{17} = \dfrac{h}{L_{17}}
$$ What is the remainder when $h$ is divided by $17?$