The IRS will not know that you closed your LLC unless you file a "final" schedule C, and they probably won't care.
If you reported your LLC business on Schedule C, then it was a single-member LLC. The IRS disregards (ignores?) single-member LLC as tax-paying entities.
As far as dissolving your LCC with the state, the IRS does not keep track of the formation or dissolution of businesses - that is state business
