Streaming Apple Music to Chromecast using iPhone or iPad

Yes, that's right. When I have a Mac available, I just log into my Apple Music account through a web browser to stream music directly. If I can't do that, using a streaming app https://apps.apple.com/us/app/docast-cast-and-mirror-to-tv/id6446948344 is a good alternative to play local DRM-free songs from my iPhone.

That was just my pain. Unfortunately, you can't do it natively.

You can use the Apple Music app on an Android device, or try other apps like DoCast, Streamer for Chromecast TVs, or Chromecaster. But these might not play all your songs, just the ones without DRM protection.

Another way is to use a MacBook to log into Apple Music and stream from there.