logging in or signing up LCM_and_HCF JMAN_CSG Download Post to : URL : Related Presentations : Share Add to Flag Embed Email Send to Blogs and Networks Add to Channel Uploaded from authorPOINT lite Insert YouTube videos in PowerPont slides with aS Desktop Copy embed code: (To copy code, click on the text box) Embed: URL: Thumbnail: WordPress Embed Customize Embed The presentation is successfully added In Your Favorites. Views: 90 Category: Education License: All Rights Reserved Like it (0) Dislike it (0) Added: February 15, 2011 This Presentation is Public Favorites: 1 Presentation Description No description available. Comments Posting comment... Premium member Presentation Transcript LCM and HCF: LCM and HCFAims of this presentation:: Aims of this presentation: Understand what is meant by LCM and HCF Give a number as a product of primes Find LCM and HCF of sets of numbersLowest Common Multiple: Lowest Common Multiple Write down the first 10 multiples of 5 7 6 8 What is the LCM of 5 and 7 5 and 6 6 and 8Highest Common Factor: Highest Common Factor Write down the factors of 30 56 40 21 What is the HCF of 30 and 40 30 and 56 21 and 40Using a factor tree: Using a factor tree 350What are the factors of 350?: What are the factors of 350? 350 = 2 x 5 2 x 7 Which of these must be factors and why 25 20 14 15 70 50 125Write as a product of primes: Write as a product of primes 400 320 650 260 728 2 4 x 5 2 2 6 x 5 2 x 5 2 x 13 2 2 x 5 x 13 2 3 x 7 x 13Finding the HCF: Finding the HCF Since 400 = 2 4 x 5 2 = 2 x 2 x 2 x 2 x 5 x 5 2 x 2 x 5 = 20 is a factor Since 260 = 2 2 x 5 x 13 = 2 x 2 x 5 x 13 2 x 2 x 5 = 20 is a factor Therefore 20 is a COMMON factor Since I chose ALL the values they had in common, 20 is the Highest Common FactorWhat is the HCF of: What is the HCF of 400 and 650 320 and 728 260, 650, and 728 260, 320, and 400 2 x 5 x 5 = 50 2 x 2 x 2 = 8 2 x 13 = 26 2 x 2 x 5 = 20Co - Prime: Co - Prime Some sets of numbers do not have prime factors in common 35 = 5 x 7 52 = 2 x 2 x 13 They still have a HCF The HCF = 1 These sets are Co-PrimeWhich of these sets are co-prime: Which of these sets are co-prime 20 and 65 35 and 48 50 and 28 33 and 55 63 and 40 42, 30, and 35 No (5) Yes No (2) No (11) Yes YesLCM: LCM Explain why the LCM of 6 and 8 is NOT 48 400 x 650 = 260000 Is 260000 a Common Multiple of 400 and 650? Why? Is it the LCM of 400 and 650? Why? What is?Ignoring the common factors: Ignoring the common factors 650 = 2 x 5 x 5 x 13 728 = 2 x 2 x 2 x 7 x 13 To find the LOWEST common Multiple we can ignore the factors repeated in the second number LCM(650, 728) = 650 x 2 x 2 x 7 = 18200 LCM(650, 728) = 650 x 728 ÷ 26 = 18200What is the LCM of: What is the LCM of 320 and 650 260 and 728 400 and 320 20800 3640 1600 You do not have the permission to view this presentation. In order to view it, please contact the author of the presentation.
LCM_and_HCF JMAN_CSG Download Post to : URL : Related Presentations : Share Add to Flag Embed Email Send to Blogs and Networks Add to Channel Uploaded from authorPOINT lite Insert YouTube videos in PowerPont slides with aS Desktop Copy embed code: (To copy code, click on the text box) Embed: URL: Thumbnail: WordPress Embed Customize Embed The presentation is successfully added In Your Favorites. Views: 90 Category: Education License: All Rights Reserved Like it (0) Dislike it (0) Added: February 15, 2011 This Presentation is Public Favorites: 1 Presentation Description No description available. Comments Posting comment... Premium member Presentation Transcript LCM and HCF: LCM and HCFAims of this presentation:: Aims of this presentation: Understand what is meant by LCM and HCF Give a number as a product of primes Find LCM and HCF of sets of numbersLowest Common Multiple: Lowest Common Multiple Write down the first 10 multiples of 5 7 6 8 What is the LCM of 5 and 7 5 and 6 6 and 8Highest Common Factor: Highest Common Factor Write down the factors of 30 56 40 21 What is the HCF of 30 and 40 30 and 56 21 and 40Using a factor tree: Using a factor tree 350What are the factors of 350?: What are the factors of 350? 350 = 2 x 5 2 x 7 Which of these must be factors and why 25 20 14 15 70 50 125Write as a product of primes: Write as a product of primes 400 320 650 260 728 2 4 x 5 2 2 6 x 5 2 x 5 2 x 13 2 2 x 5 x 13 2 3 x 7 x 13Finding the HCF: Finding the HCF Since 400 = 2 4 x 5 2 = 2 x 2 x 2 x 2 x 5 x 5 2 x 2 x 5 = 20 is a factor Since 260 = 2 2 x 5 x 13 = 2 x 2 x 5 x 13 2 x 2 x 5 = 20 is a factor Therefore 20 is a COMMON factor Since I chose ALL the values they had in common, 20 is the Highest Common FactorWhat is the HCF of: What is the HCF of 400 and 650 320 and 728 260, 650, and 728 260, 320, and 400 2 x 5 x 5 = 50 2 x 2 x 2 = 8 2 x 13 = 26 2 x 2 x 5 = 20Co - Prime: Co - Prime Some sets of numbers do not have prime factors in common 35 = 5 x 7 52 = 2 x 2 x 13 They still have a HCF The HCF = 1 These sets are Co-PrimeWhich of these sets are co-prime: Which of these sets are co-prime 20 and 65 35 and 48 50 and 28 33 and 55 63 and 40 42, 30, and 35 No (5) Yes No (2) No (11) Yes YesLCM: LCM Explain why the LCM of 6 and 8 is NOT 48 400 x 650 = 260000 Is 260000 a Common Multiple of 400 and 650? Why? Is it the LCM of 400 and 650? Why? What is?Ignoring the common factors: Ignoring the common factors 650 = 2 x 5 x 5 x 13 728 = 2 x 2 x 2 x 7 x 13 To find the LOWEST common Multiple we can ignore the factors repeated in the second number LCM(650, 728) = 650 x 2 x 2 x 7 = 18200 LCM(650, 728) = 650 x 728 ÷ 26 = 18200What is the LCM of: What is the LCM of 320 and 650 260 and 728 400 and 320 20800 3640 1600