How to grow LVM partition to include newly released partition (now unallocated space) [duplicate]

I had a Windows partition and I nuked it in favor of a VirtualBox VM. Now I could use the extra space it was occupying. LVM2 is in use on the Linux side but the Windows partition which has since been removed pre-dates the LVM setup. The space in question is to be added to the /home partition. I've created an admin user who has a home dir that is not in /home so that I can log in as him and get this done. Procedure? Do I need to mess with the volume group? Do I need to use fdisk first or can I use a pv* command? This situation seems more complicated than gparted or lvm (the GUI tool) can manage.

Additional info:

dude@machine:~$ sudo lvs 
  LV     VG        Attr      LSize   Pool Origin Data%  Move Log Copy%  Convert
  home   ubuntu-vg -wi-ao--- 214.87g                                           
  root   ubuntu-vg -wi-ao--- 191.39g                                           
  swap_1 ubuntu-vg -wi-a----  31.94g                                           
dude@machine:~$ sudo fdisk -l /dev/sdb

Disk /dev/sdb: 500.1 GB, 500106780160 bytes
255 heads, 63 sectors/track, 60801 cylinders, total 976771055 sectors
Units = sectors of 1 * 512 = 512 bytes
Sector size (logical/physical): 512 bytes / 512 bytes
I/O size (minimum/optimal): 512 bytes / 512 bytes
Disk identifier: 0xca18e148

Note: Below sdb3 is physical and sdb5 logical but it's the same space. 

   Device Boot      Start         End      Blocks   Id  System
/dev/sdb3       526147582   976769023   225310721    5  Extended 
/dev/sdb5       526147584   976769023   225310720   8e  Linux LVM

dude@machine:~$ df -T
Filesystem                  Type     1K-blocks     Used Available Use% Mounted on
/dev/mapper/ubuntu--vg-root ext4     197401876 13355496 173995820   8% /
none                        tmpfs            4        0         4   0% /sys/fs/cgroup
udev                        devtmpfs  16428232        4  16428228   1% /dev
tmpfs                       tmpfs      3288660     1580   3287080   1% /run
none                        tmpfs         5120        0      5120   0% /run/lock
none                        tmpfs     16443284    19692  16423592   1% /run/shm
none                        tmpfs       102400       44    102356   1% /run/user
/dev/sda1                   ext2        240972    51593    176938  23% /boot
/dev/mapper/ubuntu--vg-home ext4     221638340 24327232 186029496  12% /home
/home/dude/.Private          ecryptfs 221638340 24327232 186029496  12% /home/dude

Solution 1:

You need to:

1. Use fdisk/parted/etc. to create a partition in the currently empty space
2. Use pvcreate to create a physical volume on the new partition.
3. Use vgextend to add the new physical volume to you current volume group, or vgcreate create a new volume group
4. Use lvextend to extend the logical volume of /home (with -r, so that the filesystem gets extended too). You'll want to unmount the partition before doing this.

You can do both 1 and 2 in a single step using GParted (right click free space, format as lvm2 pv). The third and fourth step needs to be run using the respective commands.