If you are running a virtual server and need to extend a disk you can resize a partition and volume group without rebooting the server. If done correctly this process is non destructive to existing data.
Assuming your disk is /dev/sda and standard RHEL/CentOS partitioning:
Extend partition
fdisk /dev/sda
Enter p to print your initial partition table.
Enter d (delete) followed by 2 to delete the existing partition definition (partition 1 is usually /boot and partition 2 is usually the root partition).
Enter n (new) followed by p (primary) followed by 2 to re-create partition number 2 and enter to accept the start block and enter again to accept the end block which is defaulted to the end of the disk.
Enter t (type) then 2 then 8e to change the new partition type to "Linux LVM".
Enter p to print your new partition table and make sure the start block matches what was in the initial partition table printed above.
Enter w to write the partition table to disk. You will see an error about device or resource busy which you can ignore.
Update kernel in-memory partition table
After changing your partition table, run the following command to update the kernel in-memory partition table:
partx -u /dev/sda
Resize physical volume
Use this command to resize the PV to recognize the extra space
pvresize /dev/sda2
Resize LV and filesystem
In this command centos is the PV, root is the LV and /dev/sda2 is the partition that was extended. Use pvs and lvs commands to see your physical and logical volume names if you don't know them. The -r option in this command resizes the filesystem appropriately so you don't have to call resize2fs or xfs_growfs separately.
lvextend -r centos/root /dev/vda2
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