WARMUP

1
WARMUP

• -7 5 x 6
• (-2)
• THE TOP THREE STUDENTS IN A MATH CLASS SHARED
  10,000 IN PRICE MONEY. THE SECOND-PLACE WINNER
  RECEIVED 4,000, THE THIRD PLACE STUDENT RECEIVED
  1500. HOW MUCH DID THE FIRST PLACE STUDENT
  RECEIVE?

2
FACTORS AND PRIME NUMBERS

• GREATEST COMMON FACTOR

3
GREATEST COMMON FACTORS

• WHAT IS THE GREATEST COMMON FACTOR?
• THE GREATEST NUMBER IN A LOST OF COMMON FACTORS
  IS CALLED THE GREATEST COMMON FACTOR.

4
GCF

• FIND THE GCF OF 12 AND 20
• 12 FACTORS ARE 1,2,3,4,6,12
• 20 FACTORS ARE 1,2,4,5,10,20,
• THE GCF OF 12 AND 20 IS 4.

5
GCF

• FIND THE GCF OF 28 AND 40
• 28 FACTORS ARE 1,2,4,7,14,28
• 40 FACTORS ARE 1,2,4,5,8,10,20,40
• THE GCF OF 28 AND 40 IS 4.

6
GCF

• FIND THE GCF OF 36 AND 72
• 36 FACTORS ARE 1,2,3,4,6,7,9,12,18,36
• 72 FACTORS ARE 1,2,3,4,6,8,12,36,72
• THE GCF OF 36 AND 72 IS 36

7
GCF

• FIND THE GCF OF 54 AND 99
• 54 FACTORS ARE
• 99 FACTORS ARE
• THE GCF OF 54 AND 99 IS _____

8
WHAT IS THE GCF OF 54 AND 99?
9
7-3 LEAST COMMON MULTIPLE
10
LEAST COMMON MULTIPLE

• WHAT IS A MULTIPLE?
• IT IS THE PRODUCT OF ANY GIVEN NUMBER.
• ANY NUMBER MULTIPLIED BY A NONZERO WHOLE NUMBER
  THE PRODUCT IS A MULTIPLE.

11
LEAST COMMON MULTIPLETWO METHODS OF SOLVING

• MAKE A LIST OF MULTIPLES OF BOTH NUMBERS
• FIND GREATEST POWERS OF ALL FACTORS

12
LEAST COMMON MULTIPLE

• THE LEAST COMMON MULTIPLE (LCM) OF TWO NUMBERS IS
  THE LEAST NUMBER IN THE LIST OF THEIR COMMON
  MULTIPLE.

13
FIND THE LEAST COMMON MULTIPLE OF 4 AND 6

• MULTIPLES OF 4
• 4, 4x1
• 8, 4x2
• 12, 4x3
• 16, 4x4
• 20,4x5
• 24, 4x6
• 28, 4x7
• 32, 4x8
• 36 4x9 ..

• MULTIPLES OF 6
• 6, 6x1
• 12, 6x2
• 18, 6x3
• 24,6x4
• 30, 6x5
• 36 6x6 ..

14
FIND THE LEAST COMMON MULTIPLE OF 4 AND 6

• MULTIPLES OF 4
• 4, 4x1
• 8, 4x2
• 12, 4x3
• 16, 4x4
• 20,4x5
• 24, 4x6
• 28, 4x7
• 32, 4x8
• 36 4x9 ..

• MULTIPLES OF 6
• 6, 6x1
• 12, 6x2
• 18, 6x3
• 24,6x4
• 30, 6x5
• 36 6x6 ..

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LEAST COMMON MULTIPLE

• FIND THE LCM OF 4 AND 6
• WRITE THE PR-ME FACTORS OF EACH NUMBERS
• 4 2 x 2 22
• 6 2 X 3
• THE PRIME FACTORS ARE 2 AND 3
• FIND GREATEST POWERS OF EACH
• GREATEST POWER OF 2 22
• GREATEST POWER OF 3 3
• LCM 22 x 3 12

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FIND THE LEAST COMMON MULTIPLE OF 6 AND 9

• PRIME FACTORS ARE
• 6 2 x 3
• 9 3 x 3
• GREATEST POWER OF 2 IS 2
• GREATEST POWER OF 3 IS 32
• LCM 32 x 2 18

• PRIME FACTORS ARE
• 6 6, 12, 18, 24, 30, 36
• 9 9, 18, 27, 36, 45
• LCM 18

17
FIND THE LEAST COMMON MULTIPLE OF 6 AND 9

• PRIME FACTORS ARE
• 6 2 x 3
• 9 3 x 3
• GREATEST POWER OF 2 IS 2
• GREATEST POWER OF 3 IS 32
• LCM 32 x 2 19

• PRIME FACTORS ARE
• 6 6, 12, 18, 24, 30, 36
• 9 9, 18, 27, 36, 45
• LCM 18

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HOMEWORK LCM

• PAGE 189
• 1-24