Mount Flume is the lowest in elevation of the peaks in the Franconia Range that are accessible by official hiking trails.

The summit marks the western border of the Pemigewasset Wilderness within the White Mountain National Forest.

The peak can be reached from the southeast by starting on the Lincoln Woods Trail and turning onto the Osseo Trail, for a total of 5.6 miles (9.0 km) with a 3,150-foot (960 m) elevation gain.

From the west the peak can be climbed via the Liberty Spring Trail, followed by the Flume Slide Trail, for a total of 4.1 miles (6.6 km) with a 2,950-foot (899 m) elevation gain.

The Flume Slide Trail is a notably steep and slippery climb, and its use is discouraged in wet weather or snow.