We want to five the lowest common multiple of these 5 numbers. We will see that the lowest common multiple is:
[tex]98^{91}[/tex]
A multiple of a number N is any product between N and a positive integer. Here we want to get the smallest common multiple of the 5 numbers in the given set.
Here, the set is:
[tex]{98^{53}, 98^{64}, 98^{73}, 98^{88}, 98^{91}[/tex]
Remember the rule:
[tex]a^n*a^m = a^{n + m}[/tex]
Then we can see that:
[tex]98^{91} = 98^{91}*1 = 98^{88}*98^{3} = 98^{73}*98^{18} = 98^{64}*98^{27} = 98^{53}*98^{38}[/tex]
So:
[tex]98^{91}[/tex]
Is a common multiple of all the numbers in the set, and is the smallest common multiple because is equal to the largest number in the set.
If you want to learn more, you can read:
https://brainly.com/question/1055068
