Technical Question: Why do we use EV/EBITDA and P/E?

Came across this question but wanted to know why EV/EBITDA and P/E are used so often/why not other multiples?

I have the answer "EV/EBITDA because it's a good proxy for EV/FCF" but then why don't we use EV/FCF?

Would be great to hear some insight into what I've got/good resources to take a look at for these. Thanks in advance!

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