Not since 1962 according to the National Weather Service.
1922 January (trace), March (trace)
1935 December (trace)
1947 December (trace)
1949 January (slightly more than 0.3 inches)
1950 April (0.2 inches)
1951 February (trace), March (trace)
1952 January (trace), March (trace), December (trace)
1954 January (0.3 inches), February (trace)
1957 January (trace)
1962 January (trace)
Now, being born and raised in Los Angeles, I understand the problem. People say Los Angeles when they mean Compton, Venice, Santa Monica, Glendale, Gardena, Westwood - EVERYTHING. Its easier. Even people from the valley tell other people fro out of state they are from LOS ANGELES.
So, if you mean Los Angeles thats one thing. If you mean an area near Los Angeles close enough to be called Los Angeles by people who dont know any better, then thats a different thing entirely.
I think the snow in 1989 was not in Los Angeles County, and it was definetely not in Los Angeles, the city. But it was oflty close. I remember trying to get my mom to drive there.
Then just in Jan/Feb this year it snowed just as close in San Bernadino County right outside of LA county (maybe 30-40 min. from downtown LA. I cant remember the date, but you could probably google it - it was in the news. It was the same day that DC had a record high or something. It was newsworthy because it should've been hot in LA and snowing in DC.
Remember when the whole Global Warming conversation got heightened earlier this year, that was then.