How can one atone for six different oaths that have been broken, knowing that I am unable to pay the expiation due to lack of money, and my family cannot help?

If someone swears an oath to abandon something or to do something, and then breaks that oath, they must pay an expiation for breaking an oath (kaffarat yamin (definition)). The oath is broken by doing what one swore to abandon, or by not doing what one swore to do. The expiation is to feed ten poor persons with the average food one provides for their own family, or to clothe them, or to free a slave. If one cannot find these, then they must fast for three days, as Allah the Almighty says: "Its expiation is the feeding of ten poor persons from the average of that which you feed your [own] families, or clothing them, or freeing a slave. But whoever finds none - then a fast of three days. That is the expiation for oaths when you have sworn. But guard your oaths. Thus does Allah make clear to you His verses that you may be grateful." (Al-Ma'idah: 89).