Depends on one's definition of "livable wage." Minimum wage and "decent standard of living" are often conflated but minimum wage was not imposed and has never been intended to provide that. It's always been a wage that was at or slightly above the federal poverty line.
The lowest minimum wage I remember hearing about as a kid was $1.50/hr. I thought that sounded like a lot of money at the time, but I probably was not even 10 years old.
That would have been in the first half of the 1970's when the federal poverty line was around $2,500. So working full time, you'd make $3,000 or about 120% of the poverty level.
Today, the federal minimum wage is $7.25 an hour and the poverty level (2016) is $12,200. So still, a full-time minimum wage worker earns nearly 120% of the poverty level.
Source: Table 1, https://www.census.gov/data/tables/time-series/demo/income-p....