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Least Common Multiples
Least Common Multiple (LCM)
• The least common multiple is the smallest
number that is common between two lists of
multiples.
EXAMPLE:
Find the LCM of 12 and 18
The multiples of 12:
•12 x 1 = 12
•12 x 2 =24
•12 x 3 = 36
•12 x 4 = 48
•12 x 5 =60
The multiples of 18:
•18 x 1 = 18
•18 x 2 = 36
•18 x 3 = 54
•18 x 4 = 72
•18 x 5 = 90
12, 24, 36, 48, 60
18, 36, 54, 72, 90
The first number you see in both lists
is 36.
The least common multiple of 12
and 18 is 36.
Example 2:
Find the LCM of 9 and 10
9, 18, 27, 36, 45, 54, 63, 72
10, 20, 30, 40, 50, 60, 70, 80
If you don’t see a common multiple, make
each list go further.
81, 90, 99
90, 100, 110
The LCM of 9 and 10 is 90
Example 3:
Find the LCM of 4 and 12
4, 8, 12, 16
12, 24, 36
Answer: 12
Example 4:
Find the LCM of 5 and 8
5, 10, 15, 20, 25, 30
8, 16, 24, 32, 40, 48
35, 40
Answer: 40
Example 5:
Find the LCM of 6 and 20
6, 12, 18, 24, 30, 36
20, 40, 60, 80, 100, 120
42, 48, 54, 60
Answer: 60

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least common multiple.ppt

  • 2. Least Common Multiple (LCM) • The least common multiple is the smallest number that is common between two lists of multiples.
  • 3. EXAMPLE: Find the LCM of 12 and 18 The multiples of 12: •12 x 1 = 12 •12 x 2 =24 •12 x 3 = 36 •12 x 4 = 48 •12 x 5 =60 The multiples of 18: •18 x 1 = 18 •18 x 2 = 36 •18 x 3 = 54 •18 x 4 = 72 •18 x 5 = 90
  • 4. 12, 24, 36, 48, 60 18, 36, 54, 72, 90 The first number you see in both lists is 36. The least common multiple of 12 and 18 is 36.
  • 5. Example 2: Find the LCM of 9 and 10 9, 18, 27, 36, 45, 54, 63, 72 10, 20, 30, 40, 50, 60, 70, 80 If you don’t see a common multiple, make each list go further. 81, 90, 99 90, 100, 110 The LCM of 9 and 10 is 90
  • 6. Example 3: Find the LCM of 4 and 12 4, 8, 12, 16 12, 24, 36 Answer: 12
  • 7. Example 4: Find the LCM of 5 and 8 5, 10, 15, 20, 25, 30 8, 16, 24, 32, 40, 48 35, 40 Answer: 40
  • 8. Example 5: Find the LCM of 6 and 20 6, 12, 18, 24, 30, 36 20, 40, 60, 80, 100, 120 42, 48, 54, 60 Answer: 60