Few days ago i made mistake and forced fsck to check partition that contain LVM instead of logic volume, as result i got broken LVM metadata. I was unable to see volume group an logic volumes.
pvs output looked like that:

# pvs -v

Scanning for physical volume names
Incorrect metadata area header checksum

I tried to run pvck but it did not help me, it founded corrupted metadata but did not repair LVM:

# pvck -d -v /dev/md5
Scanning /dev/md5
Incorrect metadata area header checksum
Found label on /dev/md5, sector 1, type=LVM2 
Found text metadata area: offset=4096, size=193024
Incorrect metadata area header checksum

Finally i founded that it’s possible to make backups of LVM metadata and restore it when needed, but i think that i had only broken LVM with broken metadata.
It’s hard to describe how happy I was when I found that by default LVM create backups of metadata when you make any changes. I found it into /etc/lvm/backup dir, after that recovery become easy task, first i recreate physical volume:

pvcreate -u b3Lk2a-pydG-Vhf3-DSEJ-9b84-RLm9-UEr6r3 --restorefile /etc/lvm/backup/vg-320 /dev/md5

UUID can be founded in pv section into metadata file:

 physical_volumes {
 
 pv0 {
 id = "<strong>b3Lk2a-pydG-Vhf3-DSEJ-9b84-RLm9-UEr6r3</strong>"
 device = "/dev/md5" # Hint only

Next i restored volume group:

vgcfgrestore -f /etc/lvm/backup/vg-320 vg-320

After that logical volumes became visible:

# lvs
 LV VG Attr LSize Pool Origin Data% Move Log Copy% Convert
 root vg-320 -wi-a--- 15.00g 
 swap vg-320 -wi-a--- 1.00g 
 var vg-320 -wi-ao-- 200.00g 
 zoneminder vg-320 -wi-a--- 15.00g

After reinitialization with vgscan -v && vgchange -ay commands, volume groups ready for fsck.