Super Shopping with LCM!

Super Shopping with LCM!
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  • Everyone at GVMS got an A on the finals, so I’m gonna throw a huge party! So of course, I need some lemonade. But they sell cups in packs 46, straws in packs of 100 and lemonade in  packs of 16 cups!
  • I think I can help!
  • I'm the math wizard. I'm here to help you with your problem. All you need to do is find the least common multiple!
  • Who are you?
  • We'll start with 46. 46 divided by 2 is 23. So we make 2 branches and write 2 and 23 under them. Since 2 and 23 are both prime numbers, write 2 x 23 below.
  • 2            23
  • 2 x 23
  • Wow magic!
  • 4                4
  • 2 to the 4th power
  • 2  2     2  2
  • Now let’s do it with 16 and 100! Instead of writing 2x2x2x2, write 2 to the 4th power!
  • 10             10
  • 5  2             5   2
  • 2 to the 2nd power x 5 to the 2nd power
  • LCM: 2 to the 4th power x 23 x 5 to the 2nd power= 9200
  • Next, we take every final number and multiply them together. Make sure to include the greatest powers of 2 and 5! Finally, divide it by 16, 46 and 100 to see how much of each product you need. 
  • Thanks, math wizard! Best party EVER!
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