Lesson 2 Least Common Multiple Bell ringer Find

Lesson 2 Least Common Multiple Bell ringer: Find the quotient: 1) 87 ÷ 3 2) 584 ÷ 8 3) 312÷ 52 Write each fraction in simplest form: 4) 32/48 5) 7/28 6) 15/25 Task: 7) An airplane has flown 260 miles out of a total trip of 500 miles. What fraction, in simplest form, of the trip has been completed?

Prime Numbers? ? • • 17 21 35 67 83 57 13

Composite Numbers? • • 7 14 23 36 97 2 61

Greatest Common Factor • To encourage public transportation, Edgar wants to give some friends envelopes with bus tickets and subway tickets in them. If he has 16 bus tickets and 8 subway tickets to split equally among the envelopes, and wants no tickets left over, what is the greatest number of envelopes Edgar can make?

Least Common Multiple: • Abbreviated: LCM • Least: The smallest of a set of numbers. • Common: The same feature among several numbers. • Multiple: The product of a number and any whole number.

Multiples: 7 X 4 = 28 factor multiple

Example: • Find the LCM of 2 and 3

Example: • Find the LCM of 14 and 21 using prime factorization. 14 21 7 x 2 7 x 3 Unlike GCM, this time we take the one common number 7 and then multiply it by the other numbers. 7 x 2 x 3 = 42 Therefore the LCM is 42

Independent Practice: 1) 2, 6 2) 4, 5, 10 3) 6, 15