I have only one advice for you: Don't mix insurance and investment. LIC is a very bad instrument for investment.
For sake of answering your question, yes, there are LIC plans which can give you 3 crores in 15 years. LIC Jeevan Anand can give you 3 crores at end of 15 years with monthly premium of Rs. 223369 (2.23 Lakh).
However with your salary, they won't issue you the policy. I would suggest you to start with basics of personal finance.
1. Buy a pure term insurance online. Go with company you are comfortable with. HDFC, ICICI, Max Life etc. all have terms plans to choose from. Generally they issue you policy with sum insured 22-26 times of your yearly salary.
2. Buy a health insurance. You might have one from your current employer, but having a personal one is advisable. More you delay in this, higher would be premium.
3. Accumulate an emergency corpus of 9-12 months expenses in bank account, Fixed Deposits or Liquid Mutual Funds.
4. Calculate how much corpus you will need for retirement. Start saving for that using instrument of your choice. You can use Mutual Funds, PPF, FD for debt and equity component.
5. Finally, try to become financially literate. Start by joining
Asan Ideas for Wealth group on Facebook.