A sample command for backing up MyISAM tables would be:
mylvmbackup --user=root --password=yourrootsqlpassword --mycnf=/etc/mysql/my.cnf --vgname=server1 --lvname=mysql --backuptype=tar
And for InnoDB:
mylvmbackup --user=root --password=yourrootsqlpassword --innodb_recover --skip_flush_tables --mycnf=/etc/mysql/my.cnf --vgname=server1 --lvname=mysql --backuptype=tar