Understanding LCM and GCF Concepts

This video tutorial covers the concept of multiples and the least common multiple (LCM). It explains how to identify multiples of a number and defines the LCM as the smallest multiple common to two or more numbers. The tutorial demonstrates finding the LCM using lists, multiplication, and a hundred chart. It also distinguishes between LCM and greatest common factor (GCF), emphasizing the importance of not confusing the two. The lesson concludes with a brief introduction to the next topic on division as a fraction.

What is a multiple of a number?

• A number that is equal to zero

• A number that is less than another number

• A number that divides another number without a remainder

• A number that is the product of a number and a non-zero whole number

What is the least common multiple (LCM) of 4 and 6?

• 6

• 18

• 12

• 24

Which of the following is a common multiple of 4 and 6?

• 8

• 10

• 12

• 14

When can multiplying two numbers give their LCM?

• When the numbers are both odd

• When the numbers have a common factor greater than 1

• When the numbers are both even

• When the numbers have no common factor greater than 1

Why doesn't multiplying 4 and 6 give their LCM?

• Because they are both odd numbers

• Because they have a common factor greater than 1

• Because they are prime numbers

• Because they are both even numbers

What is the LCM of 4 and 7?

• 14

• 21

• 35

• 28

What is the LCM of 8 and 12 using a hundred chart?

• 12

• 24

• 36

• 48

What is the LCM of 4, 5, and 10?

• 10

• 20

• 30

• 40

What is the greatest common factor (GCF) of 8 and 12?

• 8

• 6

• 4

• 2

What is the difference between LCM and GCF?

• LCM is the largest number that divides two numbers, GCF is the smallest common multiple

• GCF is always larger than LCM

• LCM is the smallest common multiple, GCF is the largest number that divides two numbers

• LCM is always larger than GCF