LCM War!

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So, you're sitting there, thinking to yourself, 'Self, I need to teach people all over the world about Least Common Multiples. I know that means the smallest multiple that two different numbers share... but how do I explain that?'

And while you're thinking this, you suddenly wonder, 'Hmm... how do you actively solve for a Least Common Multiple without the guessing/know your times tables method?'

Further research leads you here which clearly tells you to:

Factor each of the numbers into primes. Then for each different prime number in all of the factorizations, do the following...

  1. Count the number of times each prime number appears in each of the factorizations.
  2. For each prime number, take the largest of these counts.
  3. Write down that prime number as many times as you counted for it in step 2.
  4. The least common multiple is the product of all the prime numbers written down.


'Self,' you say to yourself, 'this is insane.'

And so you start your day of filming.

Least Common Multiples

All in all, we did very well today. Some good stuff.

 ~Luke Holzmann
Filmmaker, Writer, Expectant Father

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  1. Heather the Mama Duk

    I'll bet after all these MathTaculars y'all will have the best understanding of anyone on the planet of various general math topics.

  2. Luke

    Heather, that is one of the great things about making homeschooling materials: I get to learn it over and over again. I really look forward to reviewing everything again with my kids <smile>.