(Last updated 12/13/2019) Currently Sikeston is the only place where three consecutive US route numbers intersect -- US 60, US 61, and US 62:
Today Bus. 60 shares pavement with US 61-62, but historically the three mainline US routes have never overlapped, only intersected. However: historically US 23, US 24, and US 25 had a junction in Toledo...
But as the first map shows, that triple-overlap was already gone by the 1950s. And then in 1974 the US 25 designation was removed from both Ohio and Michigan.