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common denominator 

(n.) A factor that appears the same in different situations. Derived from mathematics where the numerator is divded by the lowest common denominator in fraction questions where it must be discovered which fraction is bigger by making the denominator the same.
Your face is the common denominator in three robberies at your place of work, which implies you have a connection to these robberies, although we could be wrong.
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Common Denominator 

A Justin Bieber love-meets-mathematics song.
Strangely, no one gets the lyrics right on any site.
Person #1: "Just a fraction of your love fills the aiir...."
Person #2: "Hey, isn't that Common Denominator by Justin Bieber ?"
Person #1: "It is !"
Person #2: "I love that song, but I can't find the right lyrics on the net"
Person #1: "Neither can I, who understands a song about math anyway ?"

Common denominator problems 

When someone complains about how bad something is, so they substitute it for another thing they believe is good, only to complain how bad it is almost immediately after the substitution. The individual making the complaint has no self awareness and therefore doesn't realise they are the problem and the things they claim are bad, probably aren't.

Example 1:

A woman is bored of sex with her husband, so she divorces him and finds a new and exciting man to have sex with. Then she realises the sex is boring and repeats only to find the sex is still boring. It is likely she just sucks at sex.

Example 2:

A man is frustrated with the demands of his job and quits after a year taking on a similar job elsewhere believing it will be better only to realise that he is frustrated with the demands of his new role. He then repeats this, when in likelihood, he just sucks at managing his workload.
Joe: "man, Bill always complains that the women in this city give bad head"
Steve: "maybe Bill is the problem?"
Joe: "how so?"
Steve: "Common denominator problems, my guy. He probably just has a numb dick"

Lowest Common Denominator

A particular type of obnoxious person one encounters in extremely large groups, or where everybody is universally included. Because there are so many people, there is a significantly higher probability of idiotic people.
Facebook comment sections are terrible. It's just giving voice to the lowest common denominator.

Lowest Common Denominator

1. The number underneath in a fraction after simplification

2. A dumbass or a group of dumbasses
1. "I got half marks in that maths test because I didn't simplify to the lowest common denominator"

2. "I got into a fight with a group of the lowest common denominator, mate"

Dumbest Common Denominator 

The most logically-challenged portion of the general population for which the most obvious warnings, posts, signs and instructions must be written or designed to avoid catastrophe.
On the lid of the coffee cup: Contents may be hot.
On a package of kitchen knives: Caution! Items are sharp.
On a trash bag: Do not place over head.
At a railroad crossing: No parking.
On a clothes dryer: Do not place children or animals inside.

"This is the dumbest sign I've ever seen. Do they think I'm a complete moron?"

"Dude. Gotta plan for the Dumbest Common Denominator."

Slowest Common Denominator

The kid in class who slows down the rest by having to get every last thing repeated to him/her 8 times before understanding it.
Teacher 1) I hear you got Tommy and Linda in English class. I had them last year. They're some really bright kids.

Teacher 2) Yeah, but I feel horrible. It's damn near Christmas and we still haven't finished basic sentence structure because Kyle still doesn't understand subject-verb agreement and he asks me 2 dozen questions per class that I've already answered.

Teacher 1) That's always so unfortunate, when the brightest in the bunch are put in the same classes as the Slowest Common Denominator.

Teacher 2) Yeah. I wish there was room in the budget to have more advanced classes.
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