How To Find Lowest Common Multiple Of 3 Numbers

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You and Your Three Dates: The Not-So-Dramatic Guide to Finding the LCM

Finding the least common multiple (LCM) of three numbers can feel as exciting as planning a group date with your three most...enthusiastic friends. You know, the one who practices karate moves, the one who serenades pigeons, and the one who collects porcelain thimbles. How do you find a time that works for everyone? Buckle up, because we're about to find the "sweet spot" for your numbers, without the social awkwardness (hopefully).

How To Find Lowest Common Multiple Of 3 Numbers
How To Find Lowest Common Multiple Of 3 Numbers

Cracking the Code: Two Top-Secret Methods

There are two main ways to find the LCM, kind of like having a backup plan for that group date (bowling alley, anyone?). Here's the lowdown:

  • Method 1: The List-Maker (Channel Your Inner Librarian): This method involves writing out all the multiples of each number until you find the first one they ALL share. Think of it as checking everyone's schedules one by one. It's a safe strategy, but for larger numbers, it can take longer than memorizing your crush's phone number (not recommended, by the way).

  • Method 2: The Prime Factorization Party (Think Disco Ball and Pocket Protectors): This method involves breaking down each number into its prime factors (those fancy building blocks of numbers) and then finding the highest power of each prime factor that appears in ANY of the numbers. It's like finding the song everyone vaguely remembers and can (mostly) sing along to. Then, you multiply those prime factors together, and voila! You've got the LCM, the magical meeting point for your numerical threesome.

Pro Tip: If you're comfortable with prime factorization, it's usually the faster method. But hey, there's no shame in making a list – sometimes the classics are classics for a reason!

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Real Talk: Why Even Bother with LCM?

Finding the LCM might seem like a party trick for numbers nerds, but it actually has real-world uses. Imagine you're stocking up on protein bars (because, let's face it, that group date might take a while). One brand comes in packs of 8, another in packs of 12, and the third in packs of 16. The LCM will tell you the smallest number of bars you can buy to have an equal amount from each brand (assuming you don't want to eat 96 protein bars in one sitting – pace yourself!).

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Important Announcement This Does Not Apply to Dating!

There's no magic number to guarantee compatibility on a group date. Just some friendly advice: maybe skip the porcelain thimble enthusiast this time.

Frequently Asked Questions

Frequently Asked Questions for the Statistically Inclined:

How to find the prime factors of a number?

Divide the number by the smallest prime number (2, 3, 5, 7, 11, etc.) that divides evenly into it. Keep dividing by prime factors until you can't divide any further.

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How to write a prime factorization?

Break down the number into its prime factors multiplied together with exponents showing how many times each prime factor appears. For example, 30 can be written as 2 x 3 x 5.

How to know if a number is prime?

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A prime number has exactly two factors: 1 and itself.

How to check if my answer is the LCM?

If your answer is a multiple of each of the original numbers, then you've found the LCM!

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How to avoid a disastrous group date?

Maybe skip the triple date altogether and focus on getting to know one person at a time. Just a suggestion!

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Quick References
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nasa.govhttps://www.nasa.gov
census.govhttps://www.census.gov
supremecourt.govhttps://www.supremecourt.gov
epa.govhttps://www.epa.gov
nist.govhttps://www.nist.gov

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