According to this article, a single _lacI_ gene copy gives rise to about 10 copies of lacI protein per cell, and we can conclude, therefore, that this is the amount required to keep a single _lac_ operon repressed. The article also mentions the _lacI Q_ mutation in the promoter of _lacI_ that results in a ten-fold increase in the level of lacI protein.
If a _lac_ expression construct is present at more than 100 copies per cell the result will be leaky repression, and this can result in selection for mutations in the gene of interest if it has deleterious effects on the host bacteria. The easiest way around this problem is to put a _lacI_ (or _lacI Q_) gene on the expression plasmid so that repressor levels are commensurate with the number of copies of the _lac_ operator, as in the pET vectors.