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Lesson 3-5 Least Common Multiple SWBAT: Find the LCM of two or more numbers by using various methods. Definitions: Multiple – __________________________________________________________ Least common multiple – ______________________________________________ Finding the Least Common Multiple: Listing all the factors – To use this method, you just need to ________________ ___________________________. Ex: Find the LCM of 4 and 6 Multiples of 4: 4 , 8 , 12 , 16 , 20 , 24 , 28 , 32 , 36 , 40 Multiples of 6: 6 , 12 , 18 , 24 , 30 , 36 , 42 , 48 , 54 , 60 - You can see that both _____________ are in the lists of multiples, but 12 is the _________ so it is the LCM. Find the LCM of each example below: ①10: 12: ② 7: 10: Shortcut – Just list the ________________________________ and see if the _______________ goes into each multiple you can save some time and effort. Challenge: The pennies in a jar can be shared equally by 2, 3, 4, 5, 6, 7, 8, 9, or 10 friends, with no pennies left over. What is the least number of pennies in the jar? Lesson 3-5 Least Common Multiple SWBAT: Find the LCM of two or more numbers by using various methods. Using the factor tree and prime factorization: To use the factor tree you have to write down any 2 factors to each number below the numbers and circle each prime number. Ex: Find the LCM of 8, 10 and 20. Now we must ___________________________________. 8: 2 • 2 • 2 10: 5 • 2 20: 5 • 2 • 2 After we make the list, find the __________________ of each number and __________ them. The biggest group of 2’s is ______________ so I will include all of them, and the biggest group of ____ would be in either the 10 row or 20 row so I will include one of them. I now have ______________ and that would be 40. If every number is _________, you just have to ____________ the numbers together! ① Find the LCM of 9 and 21 Find the LCM using any method you prefer: ① 4 and 9 ② 8 and 14 ③ 6, 9, 15 ④ 2, 3, 5, 7, 11 Challenge: The pennies in a jar can be shared equally by 2, 3, 4, 5, 6, 7, 8, 9, or 10 friends, with no pennies left over. What is the least number of pennies in the jar?
