List users not in distribution lists

I am looking for a way to list all users that are not in 8 specific distribution lists.

I have found an option that gets close but it is not correct.

I only want to display the users that are not in list 1, or list 2, or list 3, or list 4, or list 5 or list 6 or, list 7, or list 8.

The script I found does not appear to apply the "or" to the query.

I also need it to export to a file rather than display on the screen.

Here is a copy of the syntax I found.

$Users = Get-Mailbox | ? {$_.PrimarySmtpAddress -like "*MyDomain.com"} #Enter your domain
$DistributionGroups = @("List 1","List 2","List 3","List 4","List 5","List 6","List 7","List 8") #Enter names of your distributiongroups

foreach($DistributionGroup in $DistributionGroups)
{
$DistributionGroupMembers = Get-DistributionGroupMember $DistributionGroup

foreach($User in $Users)
{
foreach($DistributionGroupMember in $DistributionGroupMembers)
{
if($DistributionGroupMember.PrimarySmtpAddress -ne $User.PrimarySmtpAddress)
{
Write-Host "$($User.PrimarySmtpAddress) missing in $DistributionGroup" #Export output here fx.
}
}
}
}