T-SQL query for date of last full backup, size and location

I'm using the below T-SQL query to determine the date of the last full database backup and also return the size and location of the backup file. My problem is that it won't return any data at all for databases that have had no backups or for which there is no backup history for. Ideally, I'd want to modify the query so that all databases are returned, regardless of whether or not there's any backup history for them. Can anyone advise how the below query could be modified to accommodate this?

WITH LastBackUp AS
(
SELECT  bs.database_name,
        bs.backup_size,
        bs.backup_start_date,
        bmf.physical_device_name,
        Position = ROW_NUMBER() OVER( PARTITION BY bs.database_name ORDER BY bs.backup_start_date DESC )
FROM  msdb.dbo.backupmediafamily bmf
JOIN msdb.dbo.backupmediaset bms ON bmf.media_set_id = bms.media_set_id
JOIN msdb.dbo.backupset bs ON bms.media_set_id = bs.media_set_id
WHERE   bs.[type] = 'D'
AND bs.is_copy_only = 0
)
SELECT 
        database_name AS [Database],
        CAST(backup_size / 1048576 AS DECIMAL(10, 2) ) AS [BackupSizeMB],
        backup_start_date AS [Last Full DB Backup Date],
        physical_device_name AS [Backup File Location]
FROM LastBackUp
WHERE Position = 1
ORDER BY [Database];

You need to query the list of databases first (it's in sys.databases), then join it to your query:

WITH LastBackUp AS
(
SELECT  bs.database_name,
        bs.backup_size,
        bs.backup_start_date,
        bmf.physical_device_name,
        Position = ROW_NUMBER() OVER( PARTITION BY bs.database_name ORDER BY bs.backup_start_date DESC )
FROM  msdb.dbo.backupmediafamily bmf
JOIN msdb.dbo.backupmediaset bms ON bmf.media_set_id = bms.media_set_id
JOIN msdb.dbo.backupset bs ON bms.media_set_id = bs.media_set_id
WHERE   bs.[type] = 'D'
AND bs.is_copy_only = 0
)
SELECT 
        sd.name AS [Database],
        CAST(backup_size / 1048576 AS DECIMAL(10, 2) ) AS [BackupSizeMB],
        backup_start_date AS [Last Full DB Backup Date],
        physical_device_name AS [Backup File Location]
FROM sys.databases AS sd
LEFT JOIN LastBackUp AS lb
    ON sd.name = lb.database_name
    AND Position = 1
ORDER BY [Database];

StackExchange Database Administrators Q#150241, answer score: 10