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Least Common Multiple and Introduction to Prime Factorization

Least Common Multiple and Introduction to Prime Factorization. By: Miss Roberts Date: September 4, 2007. Definitions Examples Activity. Objective. To gain an understanding of the terms related to multiples and factors To use knowledge to solve basic problems and word problems.

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Least Common Multiple and Introduction to Prime Factorization

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  1. Least Common Multiple and Introduction to Prime Factorization By: Miss Roberts Date: September 4, 2007 Definitions Examples Activity

  2. Objective • To gain an understanding of the terms related to multiples and factors • To use knowledge to solve basic problems and word problems

  3. Vocabulary Review

  4. product The is the answer to a multiplication problem. Example: 6 X 8 = 48 THE PRODUCT

  5. The multiple of a number is any product of that number and another number. Example: Multiples of the number 2 2x1=2, 2x2=4, 2x3=6, 2x4=8, 2x5=10, 2x6=12, …

  6. A multiple shared by two or more numbers is called a common multiple Example: Common multiples of the 2 and 4 2x1=2, 2x2=4, 2x3=6, 2x4=8, 2x5=10, … 4x1=4, 4x2=8, 4x3=12, 4x4=16, 4x5=20…

  7. The ______ is the smallest number, other than zero, that is the common multiple of two or more numbers. least common multiple (LCM) Example: Least common multiple of the 2 and 4 2x1=2, 2x2=4, 2x3=6, 2x4=8, 2x5=10, … 4x1=4, 4x2=8, 4x3=12, 4x4=16, 4x5=20…

  8. Introduction to New Terms

  9. Numbers multiplied to give a product are called ____________. Example: 6 X 8 = 48 None of the above products sibling numbers the least common multiple factors FACTORS

  10. A is a whole number that has factors other than just 1 and itself. A number that has exactly two factors, 1 and itself, is called a number. composite number Example: Composite Number 12: 1, 2, 3, 4, 6, 12 (has factors other than 1 and itself) prime number Example: Prime Number 7: 1, 7 (only factors are 1 and itself)

  11. What is method used to write a composite number as a product of its prime factors? Prime Factorization Example: 1x2x2x5 = 20 20 10 2 2 5 2 1

  12. What is the next step? Let’s Practice with an Activity!

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