Looking on the internet deeply has found these results:

many times is the most popular phrase on the web.

for many times 14,780,000 results on the web	many times 1274,000,000 results on the web More popular!
Some examples and use cases from the internet:	Some examples and use cases from the internet:
You give coin enough for many times what you ask. It does not bother me personally, but what I have asked for many times in this Chamber is that there is an even application of the rules to everybody. I met them for many times walking by the river. I have seen these things for many times. Durban was not a failure, nor was it indeed a great success; but it re emphasised the imperative to make racism a crime, something I have called for many times in this House. This Agreement also includes a political dialogue and a parliamentary dialogue which we have called for many times. I called for help many times.	It doesn't look like this phrase is very popular! The search could not find any examples on the internet.

for many times

14,780,000 results on the web

many times

1274,000,000 results on the web

More popular!

You give coin enough for many times what you ask.
It does not bother me personally, but what I have asked for many times in this Chamber is that there is an even application of the rules to everybody.
I met them for many times walking by the river.
I have seen these things for many times.
Durban was not a failure, nor was it indeed a great success; but it re
emphasised the imperative to make racism a crime, something I have called for many times in this House.
This Agreement also includes a political dialogue and a parliamentary dialogue which we have called for many times.
I called for help many times.

It doesn't look like this phrase is very popular! The search could not find any examples on the internet.