Finding the Least Common Multiple of Two Numbers LCD 1
?
Name:
Date:
Finding the Least Common Multiple of Two Numbers
LCD 1
Instructions: For each pair of numbers, fill in a row of the multiples chart by multiplying by 1, 2, 3, 4, etc. As soon as you find a common multiple, circle it. The circled number is the Least Common Multiple (or LCM). You do not need to fill up the whole table.
1 2 and 3
?1 ?2 ?3 ?4 ?5 ?6
246 36
2 3 and 4
?1 ?2 ?3 ?4 ?5 ?6
3 6 9 12 4 8 12
3 2 and 10
?1 ?2 ?3 ?4 ?5 ?6
2 4 6 8 10 10
4 8 and 10
?1 ?2 ?3 ?4 ?5 ?6
8 16 24 32 40 10 20 30 40
5 4 and 5
?1 ?2 ?3 ?4 ?5 ?6
4 8 12 16 20 5 10 15 20
6 4 and 6
?1 ?2 ?3 ?4 ?5 ?6
4 8 12 6 12
7 6 and 8
?1 ?2 ?3 ?4 ?5 ?6
6 12 18 24 8 16 24
8 3 and 5
?1 ?2 ?3 ?4 ?5 ?6
3 6 9 12 15 5 10 15
9 12 and 15
?1 ?2 ?3 ?4 ?5 ?6
12 24 36 48 60 15 30 45 60
10 6 and 21
?1 ?2 ?3 ?4 ?5 ?6 ?7
6 12 18 24 30 36 42 21 42
Finding a Common Denominator: LCD ?
? 2013 Math Plus Motion, LLC
? Fractions
Name: Date:
Finding the Least Common Denominator (LCD)
Instructions: Change these `un-like' fractions into `like' fractions using the LCD method. Use the multiples table to help find the LCM of the bottom numbers.
1
3
4
3 3
?
3 4
9
12
1 6
1 6
?
2 2
2
12
4 and 6
?1 ?2 ?3 ?4 ?5 ?6
4 8 12 6 12
LCM becomes the LCD
LCD 2
2
1
2
5 5
?
1 2
5 10
7 10
7 10
?
1 1
7 10
2 and 10
?1 ?2 ?3 ?4 ?5 ?6
2 4 6 8 10 10
3
5
6
4 4
?
5 6
20 24
3 8
3 8
?
3 3
9 24
6 and 8
?1 ?2 ?3 ?4 ?5 ?6
6 12 18 24 8 16 24
4
3
10
4 4
?
3 10
12 40
3 8
3 8
?
5 5
15
40
10 and 8
?1 ?2 ?3 ?4 ?5 ?6
10 20 30 40 8 16 24 32 40
Finding a Common Denominator: LCD ?
? 2013 Math Plus Motion, LLC
? Fractions
Name: Date:
Adding & Subtracting Fractions by the LCD Method
Instructions: Add or subtract these `un-like' fractions. Start by using the LCD Method to turn them into `like' fractions. You do not need to simplify your answers.
LCD 3
1
2 3
+
7 9
3 3
?
2 3
+
7 9
?
1 1
6 9
+
7 9
=
13 9
3 and 9
?1 ?2 ?3 ?4 ?5 ?6
369
9
2
4 9
+
1 12
4 4
?
4 9
+
1 12
?
3 3
16 36
+
3 36
=
19 36
9 and 12
?1 ?2 ?3 ?4 ?5 ?6
9 18 27 36
12 24 36
3
7 12
-
4 15
5 5
?
7 12
-
4 15
?
4 4
35 60
-
16 60
=
19 60
12 and 15
?1 ?2 ?3 ?4 ?5 ?6
12 24 36 48 60
15 30 45 60
4
3 6
-
3 14
7 7
?
3 6
-
3 14
?
3 3
21 42
-
9 42
=
12 42
6 and 14
?1 ?2 ?3 ?4 ?5 ?6 ?7
6 12 18 24 30 36 42 14 28 42
Finding a Common Denominator: LCD ?
? 2013 Math Plus Motion, LLC
? Fractions
Name: Date:
When `Un-Like' Denominators are Multiples
LCD 4
Instructions: Add these `un-like' fractions using the LCD method. In each problem, one bottom number is a multiple of the other. That means you won't need a table to find the LCM because the bigger bottom number is the LCM. You do not need to simplify your answers.
1
1 2
+
5 6
3 3
?
1 2
+
5 6
3 6
+
5 6
=
8 6
2
1 8
+
3 4
1 8
+
3 4
?
2 2
1 8
+
6 8
=
7 8
3
2 3
+
2 9
3 3
?
2 3
+
2 9
6 9
+
2 9
=
8 9
5
3 4
+
5 16
4 4
?
3 4
+
5 16
12 16
+
5 16
=
17 16
4
5 12
+
2 6
5 12
+
2 6
?
2 2
5 12
+
4 12
=
9 12
6
9 25
+
3 5
9 25
+
3 5
?
5 5
9 25
+
15 25
=
24 25
7
4 3
+
8 15
5 5
?
4 3
+
8 15
20 15
+
8 15
=
28 15
8
5 21
+
2 3
5 21
+
2 3
?
7 7
5 21
+
14 21
=
19 21
Finding a Common Denominator: LCD ?
? 2013 Math Plus Motion, LLC
? Fractions
Name: Date:
Un-Guided Practice with the LCD Method
LCD 5
Instructions: Add or subtract these `un-like' fractions using the LCD method you learned in the video. Show your work and you do not need to simplify your answers.
1
2 3
+
1 6
2 2
x
2 3
+
1 6
4 6
+
1 6
=
5 6
2
7 12
-
1 6
7 12
-
1 6
x
2 2
7 12
-
2 12
=
5 12
3
15 24
+
5 8
15 24
+
5 8
x
3 3
15 24
+
15 24
=
30 24
4
9 10
-
1 5
9 10
-
1 5
x
2 2
9 10
-
2 10
=
7 10
5
3 8
+
3 2
3 8
+
3 2
x
4 4
3 8
+
12 8
=
15 8
7
5 3
-
3 4
4 4
x
5 3
-
3 4
x
3 3
20 12
-
9 12
=
LCM
34 68 9 12 12
11 12
6
3 7
+
5 14
2 2
x
3 7
+
5 14
6 14
+
5 14
=
11 14
8
4 6
-
3 8
4 4
x
4 6
-
3 8
x
3 3
16 24
-
9 24
=
LCM
68 12 16 18 24 24
7 24
Finding a Common Denominator: LCD ?
? 2013 Math Plus Motion, LLC
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