Factor vs Multiple 24 Factors Multiples

Prime Factorization Using factor tree or division method 24 24

Using prime factorization to get all factors 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

Let’s 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