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# Lesson 5 5 lcm

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### Lesson 5 5 lcm

1. 1. Name ____________________________________ Date __________________Mrs. Labuski / Mrs. Rooney Period __________ Lesson 5-5 LCM / LCDVOCABULARY DEFINITION EXAMPLE The multiples of 3 are: The product of 3, 6, 9, 12, 15, 18, 21, 24, 27, MULTIPLE any number and 30 a whole number. The multiples of 3 are: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30 The smallest LEAST The multiples of 4 are: COMMON number that is a 4, 8, 12, 16, 20, 24, 28, 32, 36, MULTIPLE multiple of two 40 LCM or more The common multiples are: numbers. 12, 24, The least common multiple is 12 The least 2 1 LEAST 3 4 COMMON commonDENOMINATOR multiple of two The LCD would be: 12 LCD or more denominators.
2. 2. There are two ways to find the Least Common Multiple.The first is the List Method:1. Find the LCM of 6 and 4The multiples of 6 are 6, 12, 18, 24, 30, 36, 42, 48, 54, 60The multiples of 4 are 4, 8, 12, 16, 20, 24, 28, 32, 36, 40The LCM is _12__________2. Find the LCM of 3, 6, and 9The multiples of 3 are 3, 6, 9, 12, 15, 18, 21, 24, 27, 30The multiples of 6 are 6, 12, 18, 24, 30, 36, 42, 48, 54, 60The multiples of 9 are 9, 18, 27, 36, 45, 54, 63, 72, 81, 90The LCM is _18__________
3. 3. The second method is to use Prime Factorization. 8=2 2 2Write the prime factorization of each number. 12 = 2 2 3 8=2 2 2Line up the common factors. 12 = 2 2 3 8=2 2 2To find the LCM, multiply one number from each 12 = 2 2 3column.     2 2 2 3 = 243. Find the LCM of 6 and 8The prime factorization of 6 is 2 3The prime factorization of 8 is 2 2 2The common factors are 2 2 2 3The LCM is 244. Find the LCM of 2, 5, and 10The prime factorization of 2 is 2The prime factorization of 5 is 5The prime factorization of 10 is 2 5The LCM is 10
4. 4. 5. Mr. Stevenson is ordering shirts and hats for his Boy Scout troop. There are 45scouts in the troop. Hats come in packs of 3, and shirts come in packs of 5. What isthe least number of packs of each he should order to so that each scout will have 1hat and 1 shirt, and none will be left over?15 packs of hats and 9 packs of shirts6. Tony wants to make 36 party bags. Glitter pens come in packs of 6. Stickerscome in sheets of 4, and balls come in packs of 3. What is the least number of eachpackage he should buy to have 1 of each item in every party bag, and no suppliesleft over?6 packs of pens, 9 sheets of stickers, and 12 packs of balls7. Why do we need to find the Least Common Denominator?________________________________________________________________________________________________________________________________________________________Find the LCD of the follow fractions:8. 4 and 2 9. 5 and 7 10. 2 and 3 6 4 8 12 3 5LCD _12_____ LCD __24___ LCD __15_____
5. 5. Name ____________________________________ Date __________________Mrs. Labuski / Mrs. Rooney Period __________ Lesson 5-5 LCM / LCDVOCABULARY DEFINITION EXAMPLE The multiples of 3 are: MULTIPLE The multiples of 3 are: The multiples of 4 are: LEAST COMMON MULTIPLE The common multiples are: LCM The least common multiple is 2 1 LEAST 3 4 COMMONDENOMINATOR The LCD would be: LCD
6. 6. There are two ways to find the Least Common Multiple.The first is the List Method:1. Find the LCM of 6 and 4The multiples of 6 are ___________________The multiples of 4 are ___________________The LCM is ___________2. Find the LCM of 3, 6, and 9The multiples of 3 are ___________________The multiples of 6 are ___________________The multiples of 9 are ___________________The LCM is ___________
7. 7. The second method is to use Prime Factorization. 8=2 2 2Write the prime factorization of each number. 12 = 2 2 3 8=2 2 2Line up the common factors. 12 = 2 2 3 8=2 2 2To find the LCM, multiply one number from each 12 = 2 2 3column. ↓ ↓ ↓ ↓ 2 2 2 3 = 243. Find the LCM of 6 and 8The prime factorization of 6 is ___________________The prime factorization of 8 is ___________________The common factors are ________________________The LCM is ___________4. Find the LCM of 2, 5, and 10The prime factorization of 2 is ___________________The prime factorization of 5 is ___________________The prime factorization of 10 is ___________________The LCM is ___________5. Mr. Stevenson is ordering shirts and hats for his Boy Scout troop. There are 45scouts in the troop. Hats come in packs of 3, and shirts come in packs of 5. What is
8. 8. the least number of packs of each he should order to so that each scout will have 1hat and 1 shirt, and none will be left over?6. Tony wants to make 36 party bags. Glitter pens come in packs of 6. Stickerscome in sheets of 4, and balls come in packs of 3. What is the least number of eachpackage he should buy to have 1 of each item in every party bag, and no suppliesleft over?7. Why do we need to find the Least Common Denominator?________________________________________________________________________________________________________________________________________________________Find the LCD of the follow fractions:8. 4 and 2 9. 5 and 7 10. 2 and 3 6 4 8 12 3 5LCD ______ LCD _______ LCD __________