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1 Least Common Multiple & Sixth Grade Least Common Denominator.

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Presentation on theme: "1 Least Common Multiple & Sixth Grade Least Common Denominator."— Presentation transcript:

1 1 Least Common Multiple & Sixth Grade Least Common Denominator

2 2 Vocabulary Multiple - The product of a whole number multiplied times any other whole number.

3 3 How to Find Multiples of A Number

4 4 Name some multiples of 7: 7 14 21 28 35 42 49

5 5 Name some multiples of 6: 6 12 18 24 30 36 42

6 6 Name some multiples of 9: 9 18 27 36 45 54 63

7 Copyright © 2013 by Monica Yuskaitis 7 How to Find Common Multiples of Two Numbers

8 Copyright © 2013 by Monica Yuskaitis 8 Vocabulary Common multiple - A number that is a multiple of two or more numbers. Some multiples of 3 & 6 3, 6, 9, 12, 15, 18, 21, 24 6, 12, 18, 24, 30, 36, 42

9 Copyright © 2013 by Monica Yuskaitis 9 What are some common multiples for 2 & 8? 2 - 2, 4, 8, 10, 12, 14, 16 8 - 8, 16, 24, 32, 40, 48

10 Copyright © 2013 by Monica Yuskaitis 10 What are some common multiples for 3 & 7? 3 - 3, 6, 9, 12, 15, 18, 21 7 - 7, 14, 21, 28, 35

11 Copyright © 2013 by Monica Yuskaitis 11 How to Find the Least Common Multiple of Two Numbers

12 Copyright © 2013 by Monica Yuskaitis 12 Vocabulary Least common multiple (LCM) - The smallest common multiple of a set of two or more numbers. 6 - 6, 12, 18, 24, 30, 36 3 - 3, 6, 9, 12, 15, 18

13 Copyright © 2013 by Monica Yuskaitis 13 What is the least common multiple (LCM) of 3 & 8? 8 - 8, 16, 24, 32, 40, 48 3 - 3, 6, 9, 12, 15, 21, 24

14 Copyright © 2013 by Monica Yuskaitis 14 What is the least common multiple (LCM) of 4 & 8? 8 - 8, 16, 24, 32, 40, 48 4 - 4, 8, 12, 16, 20, 24

15 Copyright © 2013 by Monica Yuskaitis 15 What is the least common multiple (LCM) of 6 & 8? 8 - 8, 16, 24, 32, 40, 48 6 - 6, 12, 18, 24, 30, 36

16 Copyright © 2013 by Monica Yuskaitis 16 What is the least common multiple (LCM) of 4 & 10? 10 - 10, 20, 30, 40, 50, 4 - 4, 8, 12, 16, 20, 24

17 Copyright © 2013 by Monica Yuskaitis 17 What is the least common multiple (LCM) of 3 & 9? 9 - 9, 18, 27, 36, 45, 54 3 - 3, 6, 9, 12, 15, 18

18 Copyright © 2013 by Monica Yuskaitis 18 How to Compare 2 or More Fractions 2 or More Fractions by Finding the CommonDenominator

19 19 Comparing Fractions Find multiples of each denominator. 1 - 5, 10, 15, 20, 25, 30 1 - 10, 20, 30, 40, 50 5 10 Which is larger, 1 5 or 1 10 ?

20 Copyright © 2013 by Monica Yuskaitis 20 Comparing Fractions Compare the lists of multiples. Circle the common multiples between the two lists. 1 5 - 5, 10, 15, 20, 25, 30 1 10 - 10, 20, 30, 40, 50

21 Copyright © 2013 by Monica Yuskaitis 21 Comparing Fractions Use the least common multiple (LCM) as the denominator. 1 5 - 5, 10, 15,20,25,30 1 10 - 10, 20, 30, 40, 50

22 Copyright © 2013 by Monica Yuskaitis 22 Comparing Fractions Convert one or both denominators to the LCD of 10. 1 5 1 10 x 2 2 1 1 5 > 1 10

23 23 Comparing Fractions Find multiples of each denominator. 2 - 3, 6, 9, 12, 15, 18 3 - 4, 8, 12, 16, 20, 24 3 4 Which is larger, 2 3 or 3 4 ?

24 24 Comparing Fractions 2 - 3,6,9,12,15,18,21,24 3 - 4, 8, 12, 16, 20, 24 3 4 Compare the lists of multiples. Circle the common multiples between the two lists.

25 25 Comparing Fractions 2 - 3,6,9,12,15,18,21,24 3 - 4, 8, 12, 16, 20, 24 3 4 Use the least common multiple (LCM) as the denominator.

26 Copyright © 2013 by Monica Yuskaitis 26 Comparing Fractions Convert one or both denominators to the LCD of 12. 2 3 3 4 12 x 4 8 9 2 3 < 3 4 x 3

27 27 Comparing Fractions Find multiples of each denominator. 1 4,8,12,16,20,24,28,32,36,40 3 10, 20, 30, 40, 50, 60 4 10 Which is larger, 1 4 or 3 10 ?

28 28 Comparing Fractions 1 4,8,12,16,20,24,28,32,36,40 3 10, 20, 30, 40, 50, 60 4 10 Compare the lists of multiples. Circle the common multiples between the two lists.

29 29 Comparing Fractions 1 4,8,12,16,20,24,28,32,36,40 3 10, 20, 30, 40, 50, 60 4 10 Use the least common multiple (LCM) as the denominator.

30 Copyright © 2013 by Monica Yuskaitis 30 Comparing Fractions Convert one or both denominators to the LCD of 20. 1 4 3 10 20 x 5 5 6 1 4 < 3 10 x 2


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