~$ dpkg -l lvm*
Desired=Unknown/Install/Remove/Purge/Hold
| Status=Not/Installed/Config-files/Unpacked/Failed-config/Half-installed
|/ Err?=(none)/Hold/Reinst-required/X=both-problems (Status,Err: uppercase=bad)
||/ Name                  Version               Description
+++-=====================-=====================-==========================================================
un  lvm                   <none>                (no description available)
un  lvm-binaries          <none>                (no description available)
ii  lvm-common            1.5.20                The Logical Volume Manager for Linux (common files)
un  lvm10                 <none>                (no description available)
un  lvm2                  <none>                (no description available)
un  lvm5                  <none>                (no description available)
un  lvm6                  <none>                (no description available)
~$
~$ apt-cache show lvm
lvm         lvm10       lvm2        lvm5        lvm6        lvm-common
~$ apt-cache show lvm10
~$ apt-cache show lvm5
~$ apt-cache show lvm6
~$ apt-cache show lvm-common
Package: lvm-common
Status: install ok installed
Priority: optional
Section: admin
Installed-Size: 140
Maintainer: Debian LVM Team <pkg-lvm-maintainers@lists.alioth.debian.org>
Architecture: i386
Version: 1.5.20
Replaces: lvm
Depends: libc6 (>= 2.3.2.ds1-21), module-init-tools | modutils (>> 2.3.11-2)
Recommends: logrotate
Conflicts: lvm, lvm5 (<= 0.8i-4), lvm6 (<= 0.8.final-2), lvm10 (<= 0.9-1)
Conffiles:
 /etc/init.d/lvm 89e6e4c563862e8d1b8519cafad4222d
 /etc/devfs/conf.d/50lvm 1ce7f0454cc3451e53ba5cdf66a7826d
 /etc/modutils/lvm-common 512dede474f2d21748e323ab13d0756e
 /etc/logrotate.d/lvm-common 3e9e6229dbea693db973fb0124062726
 /etc/default/lvm-common 205db14be7458895a3ce86999eab1175
Description: The Logical Volume Manager for Linux (common files)
 LVM includes all of the support for handling read/write operations on
 physical volumes (hard disks, RAID-Systems, magneto optical, etc.,
 multiple devices (MD), see mdadd(8) or even loop devices, see losetup(8)),
 creating volume groups from one or more physical volumes and creating
 one or more logical volumes in volume groups.
 .
 This package includes parts of the LVM packaging which do not depend on
 the particular IO protocol version of the kernel implementation. You need
 to install in addition one of lvm5, lvm6, or lvm10.