LCM

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LCM

• Ch. 4. Section 4

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Example 1

• Cicadas live undergound until they are fully
  developed. It takes 13 years for one type of
  cicada and 17 years for another type of cicada to
  fully develop. In 1998, the two types of cicadas
  emerged together.
• In how many years will the 2 types emerge
  together?

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More cidadas!

• Between the years 1998 and 2998, how many times
  will the 2 types of cicadas emerge together?

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Example 2

• The All-stars are going on a bus tour of Chicago.
  The buses leave the Sears Tower at 900 A.M.
  Bus A returns to the Sears Tower every 60
  minutes, Bus B returns every 40 minutes, and Bus
  C returns every 75 minutes. What is the next
  time the buses will all return to the Sears Tower?

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Example 3

• Omars watch beeps every 40 minutes. Ivans
  watch beeps every 50 minutes. If both watches
  just beeped, when will they both beep again?

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Example 4

• You are decorating a float for the homecoming
  game. There are 108 red roses, 144 white roses,
  48 yellow roses, and 72 purple roses. If you
  want each bunch of roses to be identical, with no
  leftover roses, what is the greatest number of
  bunches you can make?