Three ways to walk up
The figures below are those of the official sheets, as published; where two sheets differ, both are given. None says what state the trail is in today.
From the Col des Montets
Tourist office sheet: start at 1,461 m behind the nature reserve chalet, 9.4 km, 890 m of climbing, highest point 2,350 m, 5 h round trip, rated “difficult (high gradient)”. The trail climbs a combe to the La Remuaz plateau, passes the small Lac de la Remuaz, turns right at the Tête aux Vents crossroads and ends across large boulders with fixed equipment, up to a depression above the lake and the refuge. Open from 15 June to 31 October, “subject to favorable snow and weather conditions”.
From Tré-le-Champ (alpine lakes trail)
Haute-Savoie département sheet: start at the Tré-le-Champ car park (1,429 m), an 11 km loop in 5 h, “very difficult”, past the Aiguillette d’Argentière, the Chéserys lakes, Lac Blanc and Lac de la Remuaz, returning via the Col des Montets. Open from 15 June to 1 November, with the same snow and weather reservations. The sheet gives no elevation gain.
From Chamonix to La Flégère, then to the lake
The tourist office sheet “Hike to La Flégère from Chamonix” starts on the Route des Moussoux (1,096 m): 8 km, 4 h 10, “difficult”, open from 1 May to 31 October subject to snow and weather. It leads to the Flégère site, not to the lake: add the climb to Lac Blanc (about 2 h from the top of the gondola, per the tourist office). No sheet gives a total time for this route.

