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**Least Common Multiples**

© 2007 M. Tallman

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Multiple Multiple- the product of a number multiplied by another number. × 1 × 2 × 3 × 4 × 5 × 6 Multiples of 3: 3 6 9 12 15 18 These numbers are multiples of 3. © 2007 M. Tallman

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Multiple Multiple- the product of a number multiplied by another number. × 1 × 2 × 3 × 4 × 5 × 6 Multiples of 6: 6 12 18 24 30 36 These numbers are multiples of 6. © 2007 M. Tallman

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Multiple Multiple- the product of a number multiplied by another number. × 1 × 2 × 3 × 4 × 5 × 6 Multiples of 7: 7 14 21 28 35 42 These numbers are multiples of 7. © 2007 M. Tallman

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Multiple Multiple- the product of a number multiplied by another number. × 1 × 2 × 3 × 4 × 5 × 6 Multiples of 11: 11 22 33 44 44 66 These numbers are multiples of 11. © 2007 M. Tallman

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**3 6 9 12 15 18 6 12 18 24 30 36 Common Multiples × 1 × 2 × 3 × 4 × 5**

Common Multiples- multiples shared by different numbers. × 1 × 2 × 3 × 4 × 5 × 6 Multiples of 3: 3 6 9 12 15 18 Multiples of 6: 6 12 18 24 30 36 These numbers are common multiples of 3 and 6. © 2007 M. Tallman

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**2 4 6 8 10 12 4 8 12 16 20 24 Common Multiples × 1 × 2 × 3 × 4 × 5 × 6**

Common Multiples- multiples shared by different numbers. × 1 × 2 × 3 × 4 × 5 × 6 Multiples of 2: 2 4 6 8 10 12 Multiples of 4: 4 8 12 16 20 24 These numbers are common multiples of 2 and 4. © 2007 M. Tallman

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**8 16 24 32 40 48 6 12 18 24 30 36 Common Multiples × 1 × 2 × 3 × 4 × 5**

Common Multiples- multiples shared by different numbers. × 1 × 2 × 3 × 4 × 5 × 6 Multiples of 8: 8 16 24 32 40 48 Multiples of 6: 6 12 18 24 30 36 This is a common multiple of 8 and 6. © 2007 M. Tallman

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Least Common Multiple Least Common Multiple (LCM)- is the least number (greater than 0) that is a multiple of two or more numbers. × 1 × 2 × 3 × 4 × 5 × 6 × 7 × 8 Multiples of : 5 10 15 20 25 30 35 40 Multiples of : 10 20 30 40 50 60 70 80 These are common multiples of 5 and 10. 10 is the Least Common Multiple of 5 and 10! 50, 60, 70, & 80 are also multiples of 5. © 2007 M. Tallman

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**4 8 12 16 20 24 28 32 8 16 24 32 40 48 70 80 Least Common Multiple × 1**

Least Common Multiple (LCM)- is the least number (greater than 0) that is a multiple of two or more numbers. × 1 × 2 × 3 × 4 × 5 × 6 × 7 × 8 Multiples of : 4 8 12 16 20 24 28 32 Multiples of : 8 16 24 32 40 48 70 80 These are common multiples of 4 and 8. 8 is the Least Common Multiple of 4 and 8! 40, 48, & 80 are also multiples of 4. © 2007 M. Tallman

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Least Common Multiple Least Common Multiple (LCM)- is the least number (greater than 0) that is a multiple of two or more numbers. × 1 × 2 × 3 × 4 × 5 × 6 × 7 × 8 Multiples of : 9 18 27 36 45 54 63 72 Multiples of : 12 24 36 48 60 72 84 96 These are common multiples of 9 and 12. 36 is the Least Common Multiple of 9 and 12! © 2007 M. Tallman

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