  Let $ k \geq 2 $ and let $ ( L_{n}^{(k)} )_{n \geq 2-k} $ be the
$k-$generalized Lucas sequence with certain initial $ k $ terms and each term
afterward is the sum of the $ k $ preceding terms. In this paper, we find all
repdigits which are products of arbitrary three terms of $k-$generalized Lucas
sequences. Thus, we find all non negative integer solutions of Diophantine
equation $L_n^{(k)}L_m^{(k)}L_l^{(k)} =a \left( \dfrac{10^{d}-1}{9} \right)$
where $n\geq m \geq l \geq 0$ and $1 \leq a \leq 9.$
