Factors vs Multiples - University of Arizona

Factors vs Multiples - University of Arizona

Factor vs Multiple 24 Factors Multiples Prime Factorization Using factor tree or division method

24 24 Using prime factorization to get all factors 3

24 2 3 Use the prime factorization to get all the the factors of 24. Common Factors

12 18 Greatest Common Factor Also known as GCF 12

18 GCF You try 24

30 Common Multiples 6 10

Least Common Multiple or LCM 12 18 22 . 3

2 32 Lets try a few more

LCM of 28 and 140 126 = 2 3 3 7 140 = 2 2 5 7 Think: both 140 and 126 are factors of the LCM. Start with either factor: 126 (factors: a 2, two 3s, and a 7). From 140,

we still need a 2 and a 5. LCM = 126 2 5 = 1260. Check: 1260 = 140 3 3 = 1260 Word Problem Example Tara can run around the track in 5 minutes. Todd can run the same distance in 6 minutes, and Tony can do it in 8 minutes. If they start at the

same time, when will they next meet at the starting line? Find the LCM of 5, 6, and 8

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