My Supervisors are not helping in writing recommendations letters
I don't know how many letters you're asking people to write for you. However, when there is a separate form that needs to be filled out for each letter, that is asking for a considerable expenditure of time for your advisors. You need to be aware of this, and plan accordingly. You can't ask people to fill out fifty forms for you at once, and then complain when they can't get it done!

So it's not really about applying to "as many PhD programs as possible." Your advisors should be working with you to select the schools and programs you are going to apply to, and you should be working with them to ensure that you are not placing too large a burden on them. This includes giving them a list that clearly states all the schools and programs to which you are applying, as well as the deadlines, as early as possible, so that they have time to plan accordingly. Then, if there's no response a few days beforehand, you need to send a polite email. 

But to keep sending out request after request for more letters in a season is a good way to annoy your letter writers. Organize and plan in advance.