

Least Common Factors and Greatest Common Factors
Presentation
•
Mathematics
•
5th - 6th Grade
•
Hard
Joseph Anderson
FREE Resource
8 Slides • 12 Questions
1
Greatest Common Factors and Least Common Multiples

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Greatest Common Factor
When you find all the factors of two or more numbers, and you find some factors that sre the same ("common"), the largest of those common factors is the GREATEST COMMON FACTOR (GCF).
3
There are 2 ways to find the GCF:
List all the factors of each number; the largest common factor is the GCF
Find the prime factors of each number. The PRODUCT of the COMMON PRIME FACTORS is the GCF
4
Find the GCF of 8 and 12
List the factors of 8: 1, 2, 4, 8
List the factors of 12: 1, 2, 3, 4, 6, 12
List the common factors: 1, 2, 4
What is the GCF? 4
5
Fill in the Blanks
What is the GCF of 15 and 20?
Type answer...
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Fill in the Blanks
What is the GCF of 21 and 35?
Type answer...
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Fill in the Blanks
What is the GCF of 12 and 45?
Type answer...
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Fill in the Blanks
What is the GCF of 28 and 42?
Type answer...
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Fill in the Blanks
What is the GCF of 18 and 24?
Type answer...
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Least Common Multiples
A MULTIPLE of a number is the product of the number multiplied by a whole number. (6x1), (6x2), (6x3,) (6x4), (6x5), (6x6), (6x7), (6x8)....
(SKIP COUNTING)
A number has ENDLESS multiples. The multiples of 6 are:
6, 12, 18, 24, 30, 36, 42, 48......... (The list NEVER ENDS)
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Least Common Multiples (LCM)
Common multiples are multiples that are shared by two or more numbers
The LCM is the smallest multiple that is shared by two or more numbers.
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There are 2 ways to find the LCM
List several multiples of each number until you find one that the numbers have in common
Find the prime factors of each number; have a contest to see which number has the most of each prime factor; MULTIPLY the prime factors from the "Contest".
13
Find the LCM of 2 and 3
List the multiples of 2:
2, 4, 6, 8, 10, 12, 14, 16, 18......... (Never ends)
List the multiples of 3:
3, 6, 9, 12, 15, 18, 21, 24..........(Never ends)
Common multiples: 6, 12, 18,
LCM: 6
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Open Ended
List the first 6 multiples of 8:
(The first multiple is 8x1)
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Fill in the Blanks
Find the LCM of 6 and 8
Type answer...
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Fill in the Blanks
Find the LCM of 6 and 10
Type answer...
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Fill in the Blanks
Find the LCM of 6 and 18
Type answer...
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Fill in the Blanks
Find the LCM of 6 and 5
Type answer...
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Open Ended
Is it possible to list ALL of the multiples of 12? Explain.
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Open Ended
What is the difference between a multiple and a factor?
Greatest Common Factors and Least Common Multiples

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