Creating a new logical volume

First look for physical volumes that have room for the new volume group:

# pvs
  PV         VG      Fmt  Attr PSize   PFree
  /dev/sda10         lvm2 a-    53.65g 53.65g
  /dev/sda5  vg01    lvm2 a-   200.00g 40.00g
  /dev/sda6  vg02    lvm2 a-    50.00g 21.00g
  /dev/sda7  sabayon lvm2 a-    50.00g  3.00g
  /dev/sda8          lvm2 a-    50.01g 50.01g
  /dev/sda9          lvm2 a-    50.01g 50.01g

Let's say we need a volume with at least 30GB to put Ubuntu on and decide to use /dev/sda10 for it. First we make the volume group:

vgcreate -v ubuntu /dev/sda10

Next we create the logical volume:

lvcreate -L 30G -n Ubuntu ubuntu

Now when you run the pvs and lvs commands you will see the new volume group and logical volume.