(This time of this celestial event will vary according to your time zone).

Some people have stated that it was beneficial for them to do the practice during the Full  Lunar Eclipse, even if the Full Lunar Eclipse is not visible in your area, that you can tune into that energy and chant while its happening, wherever you are. Below UTC (Greenwich, London Etc.) time and Los Angeles time is listed. You can adjust accordingly for your time zone. Numerous people have had profound experiences practicing Dharma during this time.
If you do not know the Full Lunar Eclipse Open Wisdom Practice… the time of the full lunar eclipse is still a time of powerful positive spiritual energy… so a Very good time to practice Dharma/do spiritual practices ! 
Best wishes for your practice, attainment, health, prosperity, happiness, and service to all,
Vajra Acharya Douglas Sutton  &  Vajra Acharya Mary O Connor

When the Eclipse Happens Worldwide — Timeline

Lunar eclipses can be visible from everywhere on the night side of the Earth, if the sky is clear. From some places, the entire eclipse will be visible, while in other areas the Moon will rise or set during the eclipse.
Event UTC Time Time in Los Angeles* Visible in Los Angeles
Penumbral Eclipse begins Jan 31 at 10:51:13 Jan 31 at 2:51:13 am Yes
Partial Eclipse begins Jan 31 at 11:48:27 Jan 31 at 3:48:27 am Yes
Full Eclipse begins Jan 31 at 12:51:47 Jan 31 at 4:51:47 am Yes
Maximum Eclipse Jan 31 at 13:29:51 Jan 31 at 5:29:51 am Yes
Full Eclipse ends Jan 31 at 14:07:51 Jan 31 at 6:07:51 am Yes
Partial Eclipse ends Jan 31 at 15:11:11 Jan 31 at 7:11:11 am No, below the horizon
Penumbral Eclipse ends Jan 31 at 16:08:29 Jan 31 at 8:08:29 am No, below the horizon
* The Moon is below the horizon in Los Angeles some of the time, so that part of the eclipse is not visible.
The magnitude of the eclipse is 1.316.
The penumbral magnitude of the eclipse is 2.294
The total duration of the eclipse is 5 hours, 17 minutes.
The total duration of the partial phases is 2 hours, 7 minutes.
The duration of the full eclipse is 1 hour, 16 minutes.

Where to See the Eclipse

Regions seeing, at least, some parts of the eclipse: North/East Europe, Asia, Australia, North/East Africa, North America, North/West South America, Pacific, Atlantic, Indian Ocean, Arctic, Antarctica.
The total phase of a lunar eclipse is also called Blood Moon as the Moon can look deep red.