Objective - To find the Least Common Multiple (LCM) of numerical and variable expressions and use it to compare and order fractions. Smallest number that a set of given numbers divides evenly into (the first number that appears in both of the times tables for the numbers. LCM -Least Common Multiple - Three ways to find the LCM 1) Make a list of multiples. 2) Use the prime factorizations 3) Use Upside-down Division

Make a List of Multiples 1) Find the LCM of 10 and 12. 2) Find the LCM of 32 and :10, 20, 30, 40, 50, 60, 70, 80, 90, :12, 24, 36, 48, 60 LCM = 60 32:32, 64, 96, 128, 160, 192, 224, :40, 80, 120, 160 LCM =

Use prime factorization to find the LCM Select all common factors once. Then select the remaining factors.

Use prime factorization to find the LCM Select all common factors once. Then select the remaining factors

Using Upside-Down Division to Find the LCM Find the LCM of 48 and Common Factors Once Remaining Factors

Using Upside-Down Division to Find the LCM Find the LCM of 90 and Common Factors Once Remaining Factors

Common Factors Once Using Upside-Down Division to Find the LCM Remember to take every variable to the highest power