1. Least Common Multiple day one Unit 5.1 Pages 218-221

2. 1. 5 = 2. 6 = 3. 10 = 4. 12 = 5, 10, 15, 20, 25 6, 12, 18, 24, 30 10, 20, 30, 40, 50 12, 24, 36, 48, 60 Warm Up Problems Find the multiples of 1, 2, 3, 4 and 5 for the numbers below.

3. Least Common Multiple. Objective: Students will use be able to find the least common multiple for a group of numbers. We will learn multiple methods to do this: today we will use a number line, and a list. https://www.youtube.com/watch?v=nxclieBp7Go

4. Definitions: Least Common Multiple: The smallest number that is a multiple of two or more numbers. Remember: Remember: The trick with an LCM is to find the 1 st multiple that they both share. 6= 8= 6, 12, 18, 24, 30... 8, 16, 24, 32, 40...

5. What is this tool used for?

6. 3=5=6=3=5=6= 3,6,9,12,15,18,21,24,27,30 Using a list is one way to find the LCM. Start with the multiples for each number up to 10 (you may need to go further) Find the LCM: 3, 5, 6 The LCM is: 30 5,10,15,20,25,30,35,40,45,50 6,12,18,24,30,36,42,48,54,60

7. 2=3=6=2=3=6= 2, 4, 6, 8, 10, 12 #4. Use a list it find the LCM. Find the LCM: 3, 5, 6 The LCM is: 6 3, 6, 9, 12, 15, 18 6, 12, 18, 24, 30

8. Using a number line is another way to find the LCM. Start with the multiples for each number up to when they match up. Find the LCM: 6, 9 The LCM is: 18 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19

9. #2. Use a number line to find the LCM. Find the LCM: 3,5 The LCM is: 15 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19

10. 8 12 Using the ladder method is another way to find the LCM that has large numbers. Find the LCM, using the same ladder method you use when finding the GCF. Find the LCM: 8 and 12 The LCM is: 24 2 x 2 4 6 2 3 2 x 2 x 2 x 3 = ___ LCM

11. 4 12 #6. Using the ladder method to find the LCM of 4 and 12 The LCM is: 24

12. 6 16 #6. Using the ladder method to find the LCM of 6 and 16 The LCM is: 48

13. 6 10 #6. Using the ladder method to find the LCM of 6 and 10 The LCM is: 30

14. 21 63 #6. Using the ladder method to find the LCM of 21 and 63 The LCM is: 63

15. 4=9=4=9= 4,8,12,16,20,24,28,3 2,36... Riddle Two faucets are dripping. One faucet drips every 4 seconds, and the other one drips every 9 seconds. If a drop falls from both faucets at the same time, how many seconds will pass before they both drip at the exact same time? 49 9,18,27,36,45,54,... they catch each other at 36 sec.

16. 6=8=6=8= 6, 12, 18, 24, 30, 36 Riddle Soda pop comes in packs of 8, and power bars come in boxes of 6. If there are 24 kids in my class how many packs of power bars and soda pop would I need to have for all my students? 8, 16, 24, 32, 40, 48 I would need 4 packs of bars and 3 packs of sodas. 4 8

17. 3=5=3=5= 3, 6, 9, 12, 15, 18, 21, 24, 27 Riddle I need to order matching shirts and hats for 45 sixth graders. The hats come in packs of 3 and shirts come in packs of 5. How many packs should I order so everyone will have a hat and shirt? 5, 10, 15, 20, 25, 30, 35, 40 I would need to buy 3 packs of hats and 5 packs of shirts. 5 3

18. Homework 5.1 page 220 Due: Tuesday January 5th  14-23 (12 questions)