Common Multiples

All About Multiples

Formative Assessment

Summary of the Math: All About Multiples

Read and Discuss

  • A common multiple of two or more whole numbers is a number that is a multiple of all the numbers. For example, 12 is a common multiple of 2 and 3 because 2 × 6 = 12 and 3 × 4 = 12.
  • The smallest of all the common multiples of any two or more natural numbers is called the least common multiple (LCM). For example, the least common multiple of 2 and 6 is 6, because 2 × 3 = 6 and 1 × 6 = 6. (Multiples of 2 that are less than 6 are 2 and 4; those numbers are not multiples of 6. 6 is the smallest multiple of 6.)
  • When you build a square using rectangles that have edges with whole-number lengths, the edge length of the square is a common multiple of the length and width of the rectangle.

Hint:

Can you:

  • Describe the relationship between the side lengths of a rectangle and the side length of a square that was built from the rectangle?
  • Use the terms multiple ,common multiple , andleast common multiple ?