A technique efficiently creates a snapshot for a logical unit (LUN) served by a storage input/output (I/O) stack executing on a node of a cluster that organizes data as extents referenced by keys. In addition, the technique efficiently creates one or more snapshots for a group of LUNs organized as a consistency group (CG) and served by storage I/O stacks executing on a plurality of nodes of the cluster. To that end, the technique involves a plurality of indivisible operations (i.e., transactions) of a snapshot creation workflow administered by a Storage Area Network (SAN) administration layer (SAL) of the storage I/O stack in response to a snapshot create request issued by a host. The SAL administers the snapshot creation workflow by initiating a set of transactions that includes, inter alia, (i) installation of barriers for LUNs (volumes) across all nodes in the cluster that participate in snapshot creation, (ii) creation of point-in-time (PIT) markers to record those I/O requests that are included in the snapshot, and (iii) updating of records (entries) in snapshot and volume tables of a cluster database (CDB).