Positive Numbers and the Number Line

Greatest Common Factor & Least Common Multiple

Vocabulary Factor – A number that divides evenly into another number. Greatest Common Factor – the greatest number or expression that is a factor of two or more numbers or expressions. Multiple – a number that is the product of a number and any non-zero whole number. Least Common Multiple – a non-zero common multiple with the smallest value.

A new method for finding GCF & LCM…amazing!! Prime Factorization!!

Listing Factors Method Find the GCF Using Two Methods Example Find the GCF of 42 & 96 Listing Factors Method Greatest Common Factor: 6 Prime Factorization Method 96 1 × 96 2 × 48 3 × 32 4 × 24 6 × 16 8 × 12 42 1 × 42 2 × 28 3 × 14 6 × 7 Bring down a number from every FULL column.

Listing Factors Method Find the GCF Using Two Methods Example Find the GCF of 180 & 200 Listing Factors Method Greatest Common Factor: 20 Prime Factorization Method 180 1 × 180 2 × 90 3 × 60 4 × 45 5 × 36 6 × 30 9 × 20 10 × 18 12 × 15 200 1 × 200 2 × 100 4 × 50 5 × 40 8 × 25 10 × 20

GCF Independent Practice Find the GCF of each pair of numbers. 12 & 15 18 & 48 3 6 15 & 60 42 & 70 15 14

Listing Multiples Method Find the LCM Using Two Methods Example Find the LCM of 24 & 28 Listing Multiples Method Least Common Multiple: 168 Prime Factorization Method 24 28 48 56 72 84 96 112 120 140 144 168 Bring down a number from EACH column.

Listing Multiples Method Find the LCM Using Two Methods Example Find the LCM of 9, 27 & 45 Listing Multiples Method Least Common Multiple: 135 Prime Factorization Method 9 27 45 18 54 90 81 135 36 108 63 72 99 117 136

LCM Practice Find the LCM of each pair of numbers 2 & 7 60 & 130 14 780 3, 6 & 9 14, 35 & 49 18 490