1. multiple A multiple of a number is the product of that number and any other whole number. Zero is a multiple of every number.
What am I?
Examples:
4: 8, 12, 16, 20, …
7: 14, 21, 28, 35,…
Multiple

2. A multiple of two or more numbers.
What am I?
Common multiple
A multiple of two or more numbers.
Examples: 3 and 4
0,12, 24, 36, …
Common
Multiple

3. Least Common Multiple What am I?
Least Common multiple The smallest nonzero number that is a multiple of two or more numbers.
Least Common
Multiple
Examples: 3 and 4
Is 12

4. Greatest Common Factor What am I?
Greatest Common Factor The greatest common factor, or GCF, is the greatest factor that divides two numbers.
Greatest Common
Factor
Examples: 6 and 10
6 : 1, 2 , 3, 6
10: 1,2 5,10
Answer: 2

5. Finding Least Common Multiple of 5 and 6
5: 5, 10 , 15, 20, 25, 30, 35, 40
6: 6, 12, 18, 24, 30, 36, 42
Simply list the multiples of each number (multiply by 2, 3, 4, etc.)
Then look for the smallest number that appears in each list.
30 is the smallest number that is a multiple of both numbers.

6. Finding Least Common Multiple of 5 and 6
5: 5, 10 , 15, 20, 25, 30, 35, 40
6: 6, 12, 18, 24, 30, 36, 42
Simply list the multiples of each number (multiply by 2, 3, 4, etc.)
Then look for the smallest number that appears in each list.
30 is the smallest number that is a multiple of both numbers.

7. Independent Practice
6 and 10
6: 12, 18, 24, 30, 36, 42
10: 10, 20, 30, 40
LCM: 30
2 and 9
2: 2,4,6,8,10, 12, 14,16, 18, 20
9: 9,18,27
LCM: 18
6 and 8
6: 6,12,18, 24, 30, 36
8: 8, 16, 24, 32
LCM: 24
3, 5, and 9
3: 3,6,9,12,15,18,21,24,27,30,33,36,39,42,45
5: 10,15,20,25,30,35,40,45,50,55,
9: 9, 18, 27, 36, 45
LCM: 45

8. Finding the Greatest Common factor of 27 and 54
27: 1,3,9,27
54: 1,2,3,6,9,16,27
It is sometimes called the Greatest Common Divisor.
It can be used to simplify (or reduce) fractions.
Don't let the "greatest" in the name fool you - the GCF is no larger than the smallest of the numbers.
The GCF of 27 and 54 is 27.