Each state has statutory requirements for amending an LLC’s Articles of Organization. The name of the Limited Liability Company would fall under this charter.
If a name change can be accomplished by amendment (most states allow this), simply determine the proper method / form to prepare then file the amendment.
Check the Secretary of State website for the state in which the LLC is filed, and search for the form (or the on-line filing if available) for amending the articles to change an LLC name.
And remember, just as was required for the original articles, the revised name must be available and not be in use by any other entity…