Understanding Factors, Multiples, Primes, HCF, and LCM in Mathematics
Explore the concepts of factors, multiples, primes, highest common factors (HCF), and least common multiples (LCM) through a series of examples and practice questions. Learn how to find HCF and LCM from prime factors efficiently. Improve your math skills with interactive exercises.
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Presentation Transcript
Factors, Multiples, Primes: Factors, Multiples, Primes: HCF and LCM from prime factors HCF and LCM from prime factors Silent Teacher Intelligent Practice Your Turn Narration 2 3 5 ??? 3 5 5 2 32 5 ??? 3 5 5 ? 32 53 ??? ?2 35 5 Example For more videos visit mrbartonmaths.com/videos mrbartonmaths.com/videos
Worked Example Your Turn 2 52 7 ??? 2 5 7 2 52 7 ??? 2 5 72 HCF = HCF = LCM = LCM = Garry Wayland
? ? 32 5 ??? ?2? 35 53 2 3 ??? 3 5 32 5?? ??? ?2? 2 3 ??? 2 3 5 15?? ??? 10?2? 2 3 5 ??? 3 5 5 45?3? ??? 20?2?2 2 32 5 ??? 3 5 5 3(? + ?) ??? 10(? + ?) 2 32 53 ??? 35 5 9? ??? 15(? + ?) ? 32 53 ??? 35 5 9?(? + ?) ??? 15?(? + ?) ? 32 53 ??? ? 35 5 9?? ? + ?2 ??? 15?(? + ?) ? 32 53 ??? ?2 35 5 ? ? 32 53 ??? ?2 35 5 Garry Wayland
2 3 ??? 3 5 ??? = 3, ??? = 2 3 5 2 3 ??? 2 3 5 ??? = 2 3, ??? = 2 3 5 2 3 5 ??? 3 5 5 ??? = 3 5, ??? = 2 3 5 5 2 32 5 ??? 3 5 5 ??? = 3 5, ??? = 2 32 5 5 2 32 53 ??? 35 5 ??? = 32 5, ??? = 2 35 53 ? 32 53 ??? 35 5 ??? = 32 5, LCM = ? 35 53 ? 32 53 ??? ? 35 5 ??? = ? 32 5, LCM = ? 35 53 ? 32 53 ??? ?2 35 5 ??? = ? 32 5, ??? = ?2 35 53 ? ? 32 53 ??? ?2 35 5 ??? = ? 3 5, ??? = ?2 ? 35 53 Garry Wayland
? ? 32 5 ??? ?2? 35 53 ??? = 32 5 ??, ??? = 35 53 ?2? 32 5?? ??? ?2? ??? = 32 5 ??, ??? = 32 5 ?2? 15?? ??? 10?2? ??? = 5??, ??? = 30?2? 45?3? ??? 20?2?2 ??? = 5?2?, ??? = 180?3?2 3(? + ?) ??? 10(? + ?) ??? = ? + ? , ??? = 30(? + ?) 9? ??? 15(? + ?) HCF= 3, LCM = 45?(? + ?) 9?(? + ?) ??? 15?(? + ?) ??? = 3(? + ?), LCM = 45??(? + ?) 9?? ? + ?2 ??? 15?(? + ?) ??? = 3?(? + ?), LCM = 45?? ? + ?2 Garry Wayland
