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Chapter 3

Chapter 3. FRACTIONS. Section 3.1. LCM GCF. multiples. Multiples of 4 4,8,12,16,20… Multiples of 10 10,20,30,40,50… Multiples are larger than the original number. LCM. Least Common Multiple Can be calculated for 2 or more numbers

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Chapter 3

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  1. Chapter 3 FRACTIONS

  2. Section 3.1 LCM GCF

  3. multiples • Multiples of 4 • 4,8,12,16,20… • Multiples of 10 • 10,20,30,40,50… • Multiples are larger than the original number

  4. LCM • Least Common Multiple • Can be calculated for 2 or more numbers • Remember: Multiples are larger than the original number • LCM asks for the smallest multiple that the numbers in question have in common

  5. Method 1 & 2 • Method 1: List out the multiples • Ex: Find the LCM of 7 and 5 • 7, 14,21,28,35,42,49, 56, 63, 70, 77 • 5, 10,15,20,25,30,35,40, 45,50,55,60,65,70, 75 • Ex2: Find the LCM of 8 and 12 • 24 • Try it: Find the LCM of 8 & 18

  6. Method 2 • Prime Factorization • Prime Factor each number • Choose the largest amount of each number that they have in common • Multiply with the numbers each do not have in common • You have your LCM • EX: LCM of 120 and 36 • 120 = 23*3*5 • 36 = 22*32 • LCM = 23*32*5 = 8*9*5=360 • Ex2: LCM of 12 & 4 • 12 = 22*3 • 4 = 22 • LCM = 22 *3 = 4 * 3 = 12 • Try it: Find the LCM of 12, 18, & 40

  7. GCF • Greatest Common Factor • Factors are smaller!!! • GCF = Greatest of the factors that the numbers have in common

  8. Method 1 • List out the Factors of the numbers • Ex1: 18 & 20 • 18 = 1,2,3,6,9,18 • 20 = 1,2,4,5,10, 20 • GCF = 2 • Try it: • Find the GCF of 25 & 52

  9. Method 2 • Prime Factorization Method • Same as LCM prime factoring except select the smallest amount of each and ignore the numbers they do not have in common. • Ex: 16 & 20 • 16 = 24 • 20 = 22*5 • GCF = 22 = 4 • Try it: • Find the GCF of 32,40,56 • GCF = 8

  10. U TRY IT • Find the LCM of : • 3 & 9 • 3, 12, 18 • Find the GCF of: • 12 & 54 • 24 & 36 & 60 • You go to the bulk section of your online grocery store to buy bulk dvd-R’s. The deal is that you must order 20, 50 or 100. What size packages should the store keep in their warehouse so they never have to open a package because of an order by some customer? • GCF • 10

  11. HW 3.1 • 1 – 56 eoo • Problems 57 – 64 all except 60 & 61 • Evens: 2, 6, 12, 18, 20, 24, 24, 26, 38, 44, 48, 50, 54, 56 • Try to do the easy ones in your head

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