Exploring Greatest Common Factor and Least Common Multiple

This video tutorial introduces the concepts of greatest common factors (GCF) and least common multiples (LCM). It explains their definitions and provides real-world examples, such as balloon arrangements and cake servings, to illustrate how to find the GCF. The tutorial also covers the prime factorization method for determining GCF and introduces the concept of multiples and LCM. Various methods for finding LCM are demonstrated, including using a number line and organized lists, with practical examples to reinforce learning.

What does GCF stand for?

• Greatest Common Function

• Greatest Common Fraction

• Greatest Common Formula

• Greatest Common Factor

What is the least common multiple (LCM) of 8 and 12?

• 8

• 4

• 24

• 12

Brian has 8 blue and 12 green balloons. What is the greatest number of identical arrangements he can make?

• 6

• 4

• 3

• 2

What is the greatest common factor of 10, 15, and 20?

• 5

• 3

• 2

• 10

What is the greatest common factor of 12 and 18 using prime factorization?

• 6

• 4

• 3

• 2

What is the least common multiple of 2 and 3 using a number line?

• 12

• 2

• 3

• 6

Using an organized list, what is the least common multiple of 2 and 3?

• 2

• 3

• 6

• 12

What is the least common multiple of 14 and 21 using prime factorization?

• 14

• 21

• 28

• 42

Ernesto paints every 2 weeks and Kamala has a party class every 5 weeks. How many weeks until they meet again?

• 15 weeks

• 10 weeks

• 20 weeks

• 5 weeks

What is the least common multiple of 3, 5, and 7?

• 15

• 21

• 35

• 105