echo hashed password for sudo command in multi system

Question

I want to make a shell that sends command which runs at sudo level, from a system to multiple system.

for example:

for system in ${systems[@]}; do
    ssh $system "echo 'password' | sudo -S yum -y update python" > /dev/null > 2>&1 &
done

So the system that runs the shell will make other servers do the yum update. Every system has the same sudo password.

But the password here is a plain text. If I hash the password, it doesn't work since every system has different hash.

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Question :
I want to hash a password in a shell that sends ssh command to other systems. How?