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Name: _____________________________________ Date: 8/28/2012 Pre-Algebra: Investigation: Multiples and Common Multiples (Using the list method) A. (1) Period: ________________ For Exercises 1 – 8, list the multiples from 1 to 100 for each pair of numbers. Then circle the least common multiple for each pair. The first one is done as an example. It is best to list them from smallest to largest. 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96 12: 12, 24, 36, 48, 60, 72, 84, 96 (2) 3: 15: (3) 7: 11: (4) 9: 10: (5) 24: 36: (6) 20: 25: Pre-Algebra Page 1 of 3 Investigation 8/28/2012 Multiples and Common Multiples – List Method (7) What factor is paired with 12 to give 48? (8) What factor is paired with 11 to give 110? B. For Exercises 9 – 12, find two pairs of numbers with the given number as their least common multiple. An example is provided for you. 12: (example) {we want to find a pair of numbers that has 12 as their least common multiple} 3 and 4 will have 12 as their least common multiple. {But the problem wants us to find two pairs of numbers – so we need to find another pair of numbers that have 12 as their least common multiple} 1 and 12 also have 12 as their least common multiple. (9) 10: OK, so let’s find a pair of numbers that has 10 as their least common multiple. _________ , __________ Good, now let’s find another pair of numbers that has 10 as their least common multiple. _________ , __________ (10) 36: OK, so let’s find a pair of numbers that has 36 as their least common multiple. _________ , __________ Good, now let’s find another pair of numbers that has 36 as their least common multiple. _________ , __________ Pre-Algebra Page 2 of 3 Investigation 8/28/2012 Multiples and Common Multiples – List Method (10) 60: OK, so let’s find a pair of numbers that has 60 as their least common multiple _________ , __________ Good, now let’s find another pair of numbers that has 60 as their least common multiple _________ , __________ (11) 105: OK, so let’s find a pair of numbers that has 105 as their least common multiple _________ , __________ Good, now let’s find another pair of numbers that has 105 as their least common multiple. _________ , __________ Pre-Algebra Page 3 of 3 Investigation 8/28/2012 Multiples and Common Multiples – List Method