TMZ broke the story, Randall first listed the spot in May of last year, asking $6.295M for the pad ... since then, it's gone through numerous price changes -- dropping to $5.7M, then a flat $5 mil and now even lower!.
He's also temporarily pulled the plug on selling the property, and ended up listing it for rent for a while. It's unclear if anyone ever took him up on the rental offer, but now the sale goes on.
You'll recall, the OG listing came after Randall and Lala called off their 3-year engagement, which resulted in her moving out. A source told us Randall was looking for a bigger home for his family after the split.
David T. Kessler of Coldwell Banker Realty holds the listing.