Find the Least (or Lowest) Common Multiple (LCM) sheet 1

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Name:

Least Common Multiples

Date:

For each pair of integers, find the least common multiple (LCM) between them.

( 1 ) 5 and 5 ( 8 ) 20 and 20

( 2 ) 8 and 27

( 9 ) 35 and 16

( 3 ) 7 and 4

(10) 12 and 50

( 4 ) 9 and 24

(11) 21 and 48

( 5 ) 36 and 28

(12) 56 and 56

( 6 ) 32 and 18

(13) 40 and 60

( 7 ) 25 and 15

(14) 14 and 14

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Least Common Multiples

A N S W E R K E Y

For each pair of integers, find the least common multiple (LCM) between them.

( 1 ) 5 and 5

5 = 1 · 5

5 = 1 · 5

LCM = 1 · 5

= 5

( 8 ) 20 and 20

20 = 2

2

· 5

20 = 2

2

· 5

LCM = 2

2

· 5

= 20

( 2 ) 8 and 27

8 = 2

3

27 = 3

3

LCM = 2

3

· 3

3

= 216

( 9 ) 35 and 16

35 = 5 · 7

16 = 2

4

LCM = 2

4

· 5 · 7

= 560

( 3 ) 7 and 4

7 = 1 · 7

4 = 2

2

LCM = 1 · 2

2

· 7

= 28

(10) 12 and 50

12 = 2

2

· 3

50 = 2 · 5

2

LCM = 2

2

· 3 · 5

2

= 300

( 4 ) 9 and 24

9 = 3

2

24 = 2

3

· 3

LCM = 2

3

· 3

2

= 72

(11) 21 and 48

21 = 3 · 7

48 = 2

4

· 3

LCM = 2

4

· 3 · 7

= 336

( 5 ) 36 and 28

36 = 2

2

· 3

2

28 = 2

2

· 7

LCM = 2

2

· 3

2

· 7

= 252

(12) 56 and 56

56 = 2

3

· 7

56 = 2

3

· 7

LCM = 2

3

· 7

= 56

( 6 ) 32 and 18

32 = 2

5

18 = 2 · 3

2

LCM = 2

5

· 3

2

= 288

(13) 40 and 60

40 = 2

3

· 5

60 = 2

2

· 3 · 5

LCM = 2

3

· 3 · 5

= 120

( 7 ) 25 and 15

25 = 5

2

15 = 3 · 5

LCM = 3 · 5

2

= 75

(14) 14 and 14

14 = 2 · 7

14 = 2 · 7

LCM = 2 · 7

= 14

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Created by 142.227.142.195 on 26-Nov-2010 7:41:24 GMT PM http://www.WorksheetWorks.com/math/factoring/lcm.html

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