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Vocabulary:
numbers that evenly divideanother number.Example: The factors of 6 are: 1, 2, 3, and 6
the product of a number multipliedby a whole number.Example: The multiples of 5 are: 5, 10, 15, 20, 25, 30…
it has exactly two factors—1 and itself.Examples: 2, 3, 5, 7, 11, 13…
Greatest Common Factor—The greatest number that can evenly divide two or more numbers.
Least Common Multiple—The lowest number that is a multiple of two or more numbers.
GCF &LCM
Name: Date: Class Pd: 1 2 3 4 5
Ladder Method Steps:1. Write both numbers inside an upside
down division house2. Outside of the “den” write a factor of
both numbers3. Draw another level of the ladder4. Divide the original numbers by that
factor5. Repeat the process with the new
numbers/answers until you can’t divide evenly anymore
6. Multiple the numbers together that are on the left of the “ladder” to find the GCF.
7. Multiply the numbers on the left AND the numbers in the last “rung” of the ladder to find the LCM!
The GCF is on the left!The LCM is ALL of them!
GCF Listing Method Steps:1. Make a list of the factors of each
number2. Circle the factors that the numbers
share3. Select the greatest, shared number!
Let’s Practice it!
Find the GCF of 15 and 30:15: 1, 3, 5, 1530: 1, 2, 3, 5, 6, 10, 15, 30
Find the GCF of 12 and 20:12: 1, 2, 3, 4, 6, 1220: 1, 2, 4, 5, 10, 20
LCM Listing Method Steps:1. Make a list of the multiples of each
number2. Circle the first (least) multiple that the
numbers share
Let’s Practice it!
Find the LCM of 5 and 6:5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 506: 6, 12, 18, 24, 30
Find the LCM of 3 and 9:3: 3, 6, 9, 12, 15, 189: 9, 18, 27…
2 8 32
4 4 16
x 1 4
GCF
7 14 21
x 2 3
LCM
Vocabulary:
numbers that evenly ___________another number.Example: factors of 6: , , , & _ _
the _____________________ of a number multiplied by a _____________ number.Example: The multiples of 5 are: ____, ____, ____, ____, ____…
it has exactly __________ factors—_____ and itself.Examples: ____, ____, ____, ____, ____, ____…
Greatest Common ________________—The greatest number that can evenly divide two or more numbers.
Least Common _____________________—The lowest number that is a multiple of two or more numbers.
GCF &LCM
Name: Date: Class Pd: 1 2 3 4 5
Ladder Method Steps:1. Write both numbers inside an upside
down division house2. Outside of the “den” write a factor of
both numbers3. Draw another level of the ladder4. Divide the original numbers by that
factor5. Repeat the process with the new
numbers/answers until you can’t divide evenly anymore
6. Multiple the numbers together that are on the left of the “ladder” to find the GCF.
7. Multiply the numbers on the left AND the numbers in the last “rung” of the ladder to find the LCM!
The GCF is on the left!The LCM is ALL of them!
GCF Listing Method Steps:1. Make a list of the factors of each
number2. Circle the factors that the numbers
share3. Select the greatest, shared number!
Let’s Practice it!
Find the GCF of 15 and 30: _________
15: ___, ___, ___, ___
30: 1, ___, 3, ___, 6, ___, ___, 30
Find the GCF of 12 and 20: _________
12: ___, 2, ___, ___, ___, 12
20: 1, ___, 4, ___, 10, ___
LCM Listing Method Steps:1. Make a list of the multiples of each
number2. Circle the first (least) multiple that the
numbers shareLet’s Practice it!
Find the LCM of 5 and 6: _________
5: 5, ___, 15, ___, ___, ___, 35, 40, 45
6: ___, 12, ___, 24, ___
Find the LCM of 3 and 9: _________
3: ___, ___, ___, ___, ___, ___
9: ___, ___, ___
8 32
x
GCF
14 21
x
LCM
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