Can a man marry to three divorced woman in India?
You can surely marry a divorced woman in India. We don't live in 18th century anymore.
But you can only marry one, Indian constitution allows only one marriage.
To be more elaborate, India has many marriage acts, like Hindu marriage act, Muslim marriage act, Sikh marriage act etc.
Depending on in which act you come under your laws differs.
For example, if you are anyone except Goa citizen and a Muslim, you are not allowed more than one marriage.
And marrying a woman be it single or divorced, as long as she's not officially attached with someone else (married) you can marry.
So you can surely marry a divorced woman, but marrying more than one depends on the religion you belong to, plus the most important whether your partner is comfortable with you sharing your love with someone else too.
Thanks for asking.