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Find the least common multiple of 3 and 5.(1 point)
Responses

30
30

15
15

10
10

60

11 answers

The least common multiple (LCM) of 3 and 5 is 15.

Therefore, the correct response is:

15

Find the least common multiple of 7 and 12.(1 point)
Responses

168
168

48
48

252
252

84

To find the least common multiple (LCM) of 7 and 12, we can use the method of listing out the multiples or utilizing the formula involving the greatest common divisor (GCD).

The multiples of 7 are:

  • 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98, 105, 112, 119, 126, 133, 140, ...

The multiples of 12 are:

  • 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, ...

The first common multiple is 84.

Thus, the least common multiple of 7 and 12 is 84.

So the correct response is:

84

Question
Find the least common multiple of 3 and 9.(1 point)
Responses

27
27

9
9

3
3

18

To find the least common multiple (LCM) of 3 and 9, we can note that 9 is a multiple of 3.

The multiples of 3 are:

  • 3, 6, 9, 12, 15, ...

The multiples of 9 are:

  • 9, 18, 27, ...

The smallest multiple that appears in both lists is 9.

Therefore, the least common multiple of 3 and 9 is 9.

So the correct response is:

9

Find the least common multiple of 8 and 10.(1 point)
Responses

60
60

40
40

120
120

80
80

To find the least common multiple (LCM) of 8 and 10, we can list out the multiples or use the prime factorization method.

Multiples of 8:

  • 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, ...

Multiples of 10:

  • 10, 20, 30, 40, 50, 60, 70, 80, ...

The smallest common multiple from both lists is 40.

Thus, the least common multiple of 8 and 10 is 40.

So the correct response is:

40

Find the least common multiple of 4 and 6.(1 point)
Responses

24
24

2
2

12
12

36
36

To find the least common multiple (LCM) of 4 and 6, we can list the multiples or use prime factorization.

Multiples of 4:

  • 4, 8, 12, 16, 20, 24, ...

Multiples of 6:

  • 6, 12, 18, 24, ...

The smallest common multiple from both lists is 12.

Thus, the least common multiple of 4 and 6 is 12.

So the correct response is:

12

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