Linux: Run fsck On LUKS (dm-crypt) Based LVM Physical Volume

I'm using dm-crypt based transparent disk encryption subsystem in Linux. The cryptsetup command is used deal with the Linux Unified Key Setup (LUKS) on-disk format and mount the partition. My setup includes RAID-10 with an LVM physical volume. How do I run fsck ("file system check") on dm-crypt / LUKS based LVM physical volume under Linux operating systems?

First, you need to open the LUKS partition device and sets up a mapping using cryptsetup command. Do not run fsck command on mounted partition. Type the following command as root user:
# cryptsetup luksOpen /dev/md3 securebackup
Sample outputs:

Enter passphrase for /dev/md3: 

Where,

1. /dev/md3 - My raid device. The device name will change according to your setup.
2. securebackup - Sets up a mapping to securebackup after successful verification. This name will change according to your setup.

To read all physical volumes, enter:
# vgscan --mknodes
Sample outputs:

  Reading all physical volumes.  This may take a while...
  Found volume group "cryptvg" using metadata type lvm2

Where,

1. cryptvg - Group volume name. It was created using lvm2 setup. This name will change according to your setup.

To activate logical volume and to create /dev/cryptvg/DEVICE name, enter:
# vgchange -ay
Sample outputs:

  1 logical volume(s) in volume group "cryptvg" now active

You can see your device name at the following location
# ls -l /dev/cryptvg
# ls -l /dev/mapper/
Sample outputs:

total 0
crw------- 1 root root 10, 59 Dec  6 12:27 control
lrwxrwxrwx 1 root root      7 Dec  6 12:54 cryptvg-mybackup -> ../dm-1
lrwxrwxrwx 1 root root      7 Dec  6 12:50 securebackup -> ../dm-0

You can type the following command to see information about VG in use:
# vgdisplay
Sample outputs:

  --- Volume group ---
  VG Name               cryptvg
  System ID
  Format                lvm2
  Metadata Areas        1
  Metadata Sequence No  2
  VG Access             read/write
  VG Status             resizable
  MAX LV                0
  Cur LV                1
  Open LV               0
  Max PV                0
  Cur PV                1
  Act PV                1
  VG Size               600.01 GiB
  PE Size               4.00 MiB
  Total PE              153602
  Alloc PE / Size       153602 / 600.01 GiB
  Free  PE / Size       0 / 0
  VG UUID               W0IDJ0-Yjt9-093X-qAzH-tbCJ-9NYH-BV1RYd

To display attributes of a physical volume, enter:
# pvdisplay
Sample outputs:

  --- Physical volume ---
  PV Name               /dev/dm-0
  VG Name               cryptvg
  PV Size               600.01 GiB / not usable 2.50 MiB
  Allocatable           yes (but full)
  PE Size               4.00 MiB
  Total PE              153602
  Free PE               0
  Allocated PE          153602
  PV UUID               swS5Nw-suTe-N0io-72LY-CBG5-6FhU-Tq8kYZ

OR
# pvdisplay /dev/dm-0
Sample outputs:

  --- Physical volume ---
  PV Name               /dev/dm-0
  VG Name               cryptvg
  PV Size               600.01 GiB / not usable 2.50 MiB
  Allocatable           yes (but full)
  PE Size               4.00 MiB
  Total PE              153602
  Free PE               0
  Allocated PE          153602
  PV UUID               swS5Nw-suTe-N0io-72LY-CBG5-6FhU-Tq8kYZ

To display attributes of a logical volume, enter:
# lvdisplay
Sample outputs:

  --- Logical volume ---
  LV Name                /dev/cryptvg/mybackup
  VG Name                cryptvg
  LV UUID                g0AghZ-bcv5-n6pP-AQUA-5c32-fQa1-OteSlg
  LV Write Access        read/write
  LV Status              available
  # open                 0
  LV Size                600.01 GiB
  Current LE             153602
  Segments               1
  Allocation             inherit
  Read ahead sectors     auto
  - currently set to     6144
  Block device           253:1

To check and possibly repair a LVM2+LUKS based Linux file system, enter:
# fsck -C -V /dev/cryptvg/mybackup
OR
# fsck -C -V -y /dev/cryptvg/mybackup
Sample outputs:

Fig.01: Running fsck on an LVM2 (LUKS based) volume

It may take some time to complete the fsck:

fsck from util-linux-ng 2.17.2
[/sbin/fsck.ext3 (1) -- /dev/mapper/cryptvg-mybackup] fsck.ext3 -C0 /dev/mapper/cryptvg-mybackup
e2fsck 1.41.12 (17-May-2010)
/dev/mapper/cryptvg-mybackup has been mounted 63 times without being checked, check forced.
Pass 1: Checking inodes, blocks, and sizes
Pass 2: Checking directory structure
Pass 3: Checking directory connectivity
Pass 4: Checking reference counts
Pass 5: Checking group summary information
/dev/mapper/cryptvg-mybackup: 483163/39329792 files (0.2% non-contiguous), 16626195/157288448 blocks

You can now mount your device using the mount command:
# mount /dev/cryptvg/mybackup /securebackup/
# df -H
Sample outputs:

Filesystem             Size   Used  Avail Use% Mounted on
/dev/md0               127G   930M   120G   1% /
tmpfs                  1.1G      0   1.1G   0% /lib/init/rw
udev                   1.1G   267k   1.1G   1% /dev
tmpfs                  1.1G      0   1.1G   0% /dev/shm
/dev/md2               1.6T    88G   1.5T   6% /data
/dev/mapper/cryptvg-mybackup
                       635G    58G   544G  10% /securebackup