Page 71 - Math Course 1 (Book 1)
P. 71

LCM (Least Common Multiple)





                Your Turn!


               Find the LCM.                                      The LCM of Monomials

                 Find the LCM of 144 and 96.                       Find the LCM of 18ab³ and 24a²b.
                 A. 2                                              A. 6ab
                 B. 144                                            B. 9a²b³
                 C. 288                                            C. 72a²b³

                 D. 13,824                                         D. 432a³b4

                  Answer                                            Answer






                MO. 2 - L3b
                                                                     LCM = 2³  5 or 40  Multiply
                         Finding the LCM
                             of Fractions                                                     7     13
                                                                      Answer      The LCM of        and       is 40.
                                                                                                    20
                                                                                              8
                            Vocabulary A-Z
                            Let us learn some vocabulary
                                                                  Compare Fractions


                                                                   Example
               Least Common Denominator (LCD)
                                                                                                 7    3
               The least common denominator (LCD) of two or        Replace • with <, >, or = to make                 a true
                                                                                                15
                                                                                                      7
               more fractions is the LCM of the denominators.      statement.
                                                                   The LCD of the fractions is 3 • 5 • 7 or 105.
                                    5      11
                        The LCD of     and     is 63.              Rewrite the fractions using the LCD and then
                                    9      21
                                                                   compare the numerators.


                                                                    7  =  7  7  =   49   Multiply the fraction by  7
                          Let’s Begin                               15   3   5   7  105  to make the denominator 7

                                                                                         105.
                                                                    3    3   3  5   45   Multiply the fraction by
               Find the LCD                                         7  =  7   3   5  =  105  3  5
                                                                                                    to make the
                                                                                         3   5
                Example                                                                  denominator 105.


                                                                                         49
                                7     13                              Answer      Since   >    45   , then   7  >  3
                 Find the LCD of       and                                              150   150       15   7
                                8     20
                  8 = 2³        Write  the prime factorization of 8
                                and 20.
                 20 = 2²  5     Highlight the greatest power of
                                each prime factor.

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