LastPass is "safe" for most use cases. I suspect that Edward Snowden and Julian Assange do not use it however. (If you're not familiar with these guys, they're both on the run from the US government for releasing classified data).
An important feature of the LastPass design is that their cloud systems never see your passwords. All your passwords are encrypted on your device, using your master password. The LastPass servers only ever see the encrypted passwords. That is a major technical mitigation and makes me happy to use LastPass.
Safe does not mean zero risk. A colleague of mine found a Chrome zero-day that allowed any web site you visited to steal passwords from your LastPass vault. But all web browsers have had a number of similar vulnerabilities, and despite this, they are generally considered "safe" for typical uses.