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GCF and LCM
The Ladder Method
What is the GCF?
• The GCF is the biggest or highest number
that divides evenly into two or more
numbers.
What is the LCM?
• The LCM is the smallest number that is a
multiple of two or more numbers.
• Ex:
Step 1
• Write your numbers side
by side inside a long
letter L.
• Ex: 12 and 8
12 8
Step 2
• Find the smallest number
that will go into both
numbers evenly and put it
on the left of the long L.
12 82
Step 3
• Divide the number to the left into both
numbers and put the answers below
the original numbers. Repeat steps 2
and 3 until you can no longer divide.
12 82
2 6 4
3 2
Step 5
• Multiply all the numbers on the left of
the long L’s to find the GCF.
• Ex: 2 X 2 = 4
12 82
2 6 4
3 2
Step 4
• Multiply all the numbers on the left of the
long L’s and below the bottom long L to
find the LCM. (You should make an L)
• Ex: 2 X 2 X 3 X 2 = 24
12 82
2 6 4
3 2
The LCMis 24

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Gcf and lcm 1

  • 1. GCF and LCM The Ladder Method
  • 2. What is the GCF? • The GCF is the biggest or highest number that divides evenly into two or more numbers.
  • 3. What is the LCM? • The LCM is the smallest number that is a multiple of two or more numbers. • Ex:
  • 4. Step 1 • Write your numbers side by side inside a long letter L. • Ex: 12 and 8 12 8
  • 5. Step 2 • Find the smallest number that will go into both numbers evenly and put it on the left of the long L. 12 82
  • 6. Step 3 • Divide the number to the left into both numbers and put the answers below the original numbers. Repeat steps 2 and 3 until you can no longer divide. 12 82 2 6 4 3 2
  • 7. Step 5 • Multiply all the numbers on the left of the long L’s to find the GCF. • Ex: 2 X 2 = 4 12 82 2 6 4 3 2
  • 8. Step 4 • Multiply all the numbers on the left of the long L’s and below the bottom long L to find the LCM. (You should make an L) • Ex: 2 X 2 X 3 X 2 = 24 12 82 2 6 4 3 2 The LCMis 24