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## Least Common Multiple - Sample Math Practice Problems

The math problems below can be generated by MathScore.com, a math practice program for schools and individual families. References to complexity and mode refer to the overall difficulty of the problems as they appear in the main program. In the main program, all problems are automatically graded and the difficulty adapts dynamically based on performance. Answers to these sample questions appear at the bottom of the page. This page does not grade your responses.

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### Complexity=4

Find the least common multiple of each pair of numbers.

 1.   2, 3 2.   4, 2

### Complexity=7

Find the least common multiple of each pair of numbers.

 1.   6, 2 2.   7, 4

### Complexity=10

Find the least common multiple of each pair of numbers.

 1.   6, 10 2.   10, 5

### Complexity=14

Find the least common multiple of each pair of numbers.

 1.   3, 12 2.   3, 6

### Complexity=16

Find the least common multiple of each pair of numbers.

 1.   12, 15 2.   8, 16

### Complexity=20

Find the least common multiple of each pair of numbers.

 1.   16, 8 2.   12, 20

### Complexity=40

Find the least common multiple of each pair of numbers.

 1.   24, 36 2.   36, 18

### Complexity=50

Find the least common multiple of each pair of numbers.

 1.   40, 30 2.   50, 35

## Answers

### Complexity=4

Find the least common multiple of each pair of numbers.

#ProblemCorrect AnswerYour Answer
12, 3
Solution
Multiples of 2: 2, 4, 6
Multiples of 3: 3, 6
#ProblemCorrect AnswerYour Answer
24, 2
Solution
2 divides evenly into 4. Therefore 4 is the LCM.

### Complexity=7

Find the least common multiple of each pair of numbers.

#ProblemCorrect AnswerYour Answer
16, 2
Solution
2 divides evenly into 6. Therefore 6 is the LCM.
#ProblemCorrect AnswerYour Answer
27, 4
Solution
Multiples of 7: 7, 14, 21, 28
Multiples of 4: 4, 8, 12, 16, 20, 24, 28

### Complexity=10

Find the least common multiple of each pair of numbers.

#ProblemCorrect AnswerYour Answer
16, 10
Solution
The GCF is 2.
LCM(6,10) = product / gcf = (6 * 10) / 2.
= (6/2) * 10
= 3 * 10.
= 30.
#ProblemCorrect AnswerYour Answer
210, 5
Solution
5 divides evenly into 10. Therefore 10 is the LCM.

### Complexity=14

Find the least common multiple of each pair of numbers.

#ProblemCorrect AnswerYour Answer
13, 12
Solution
3 divides evenly into 12. Therefore 12 is the LCM.
#ProblemCorrect AnswerYour Answer
23, 6
Solution
3 divides evenly into 6. Therefore 6 is the LCM.

### Complexity=16

Find the least common multiple of each pair of numbers.

#ProblemCorrect AnswerYour Answer
112, 15
Solution
The GCF is 3.
LCM(12,15) = product / gcf = (12 * 15) / 3.
= (12/3) * 15
= 4 * 15.
= 60.
#ProblemCorrect AnswerYour Answer
28, 16
Solution
8 divides evenly into 16. Therefore 16 is the LCM.

### Complexity=20

Find the least common multiple of each pair of numbers.

#ProblemCorrect AnswerYour Answer
116, 8
Solution
8 divides evenly into 16. Therefore 16 is the LCM.
#ProblemCorrect AnswerYour Answer
212, 20
Solution
The GCF is 4.
LCM(12,20) = product / gcf = (12 * 20) / 4.
= (12/4) * 20
= 3 * 20.
= 60.

### Complexity=40

Find the least common multiple of each pair of numbers.

#ProblemCorrect AnswerYour Answer
124, 36
Solution
The GCF is 12.
LCM(24,36) = product / gcf = (24 * 36) / 12.
= (24/12) * 36
= 2 * 36.
= 72.
#ProblemCorrect AnswerYour Answer
236, 18
Solution
18 divides evenly into 36. Therefore 36 is the LCM.

### Complexity=50

Find the least common multiple of each pair of numbers.

#ProblemCorrect AnswerYour Answer
140, 30
Solution
The GCF is 10.
LCM(40,30) = product / gcf = (40 * 30) / 10.
= (40/10) * 30
= 4 * 30.
= 120.
#ProblemCorrect AnswerYour Answer
250, 35
Solution
The GCF is 5.
LCM(50,35) = product / gcf = (50 * 35) / 5.
= (50/5) * 35
= 10 * 35.
= 350.
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