1 / 8

Mastering Factors: GCF and LCM in Mathematics

Understand prime factorization, factors, composite numbers, GCF, and LCM concepts in mathematics using simple examples for clarity.

donaldmckenna
Download Presentation

Mastering Factors: GCF and LCM in Mathematics

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Factors 􀀹 0506.2.2 Use the prime factorization of two whole numbers to determine the greatest common factor and the least common multiple.

  2. Factors • Factor: Any one of the numbers multiplied in a multiplication problem. • Factor: A whole number that divides another whole number without a remainder.

  3. Prime Numbers • A counting number greater than 1, whose only two factors are the number 1 and itself. • Examples: • 2: 1x2 • 3: 1x3 • 5: 1x5 • 7: 1x7 • 11: 1x11

  4. Composite Number • A counting number greater than 1 that is divisible by a number other than itself and 1. • Every composite number has at least three factors. • Every composite number can be expressed as a product of two or more prime numbers. • Examples: • 4: 1, 2, 4 • 6: 1, 2, 3, 6

  5. Greatest Common Factor (GCF) • The largest whole number that is a factor of two or more given numbers. • Example • 15: 1, 3, 5, 15 • 20: 1, 2, 4, 5, 10, 20 • What factors do 15 and 20 have in common? • 1 and 5 • Which one of the factors is greatest or largest? • 5, therefore 5 is the Greatest Common Factor

  6. Least Common Multiple (LCM) • The smallest whole number that is a multiple of two or more given numbers. • Reminder: A multiple is a product of a counting number and another number. • Example: The multiples of 3: 3, 6, 9, 12, 15, 18, 21, …

  7. LCM • Find the LCM of 4 and 6 • 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, … • 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, … • What multiples do 4 and 6 have in common? • 12, 24, 36 • Which is the least or smallest? • 12

  8. Your Turn • Find the Greatest Common Factor of 12 and 15. • 12: 1, 2, 3, 4, 6, 12 • 15: 1, 3, 5, 15 • The GCF of 12 and 15 is 3 • Find the Least Common Multiple of 6 and 8. • 6: 6. 12, 18, 24, 30, … • 8: 8, 16, 24, 32, 40, … • The LCM of 6 and 8 is 24

More Related