Factors & Multiples – Lesson 2 Word Problems page 16
Carol wrote her name in the following pattern: C A R O L C A R O L C A R O L … 1st 2nd 3rd … What letter is in: The 14th position? The 23rd position? The 153rd position? Work in groups. Write your answers on your whiteboards.
Least Common Multiple (LCM) What do you think a lowest common multiple is? In your groups, write a definition and an example on your whiteboard.
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Page 16 Ronald and Tim both did their laundry today. Ronald does laundry every 6 days and Tim does laundry every 9 days. How many days will it be until Ronald and Tim both do laundry on the same day again?
Page 16 Think: Find the least common multiple of 6 and 9. The LCM is how many days until they do laundry on the same day again. Solve: 6: 6, 12, 18… 9: 9, 18… Answer: It will be 18 days until Ronald and Tim both do laundry on the same day again.
Page 16 Yadira’s mom is buying hot dogs and hot dog buns for the family barbeque. Hot dogs come in packs of 12 and hot dog buns come in packs of 9. The store does not sell parts of a pack ad Yadira’s mom wants the same number of hotdogs as hot dog buns. What is the smallest total number of hotdogs that Yadira’s mom can purchase?
Page 16 Think: Find the least common multiple of 12 and 9. The LCM is the smallest total number of hot dogs Yadira’s mom can purchase. Solve: 12: 12, 24, 36… 9: 9, 18, 27, 36… v Answer: 36 is the smallest total number of hot dogs that Yadira’s mom can purchase.