A limited liability company is dissolved and its affairs shall be wound up upon the happening of the first to occur of the following:
(1) At the time or upon the occurrence of events specified in writing in the articles of organization or an operating agreement, but if no such time is set forth in either of the foregoing, then the limited liability company shall have a perpetual existence;
(2) The written consent of all members;
(3) At any time there are no members, provided that, unless otherwise provided in the articles of organization or an operating agreement, the limited liability company is not dissolved and is not required to be wound up if within ninety (90) days or such other period as is provided for in the articles of organization or an operating agreement after the occurrence of the event that terminated the continued membership of the last remaining member, the personal representative of the last remaining member agrees in writing to continue the limited liability company and to the admission of the personal representative of the member or its nominee or designee to the limited liability company as a member, effective as of the occurrence of the event that terminated the continued membership of the last remaining member; and
(4) The entry of a decree of judicial dissolution under § 4-32-902.