Whether LLMs are conscious is probably more interesting than whether they are "alive", and there's some criteria that consensus says they don't meet yet: https://arxiv.org/abs/2308.08708

Alive is really a poor choice of word here, because our criteria for living is so biologically focused. LLMs don't have homeostasis, reproduce, or otherwise demonstrate all the "usual" markers of living, precisely because they're ephemeral brains conjured into existence on a silicon substrate. As such, trying to ascribe any intuition about "life" to these virtual entities is only going to lead us astray in key areas like ethics and policy.

It's better to think of them as powerful calculation machines and leave it at that.