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Iteru [2.4K]
4 years ago
5

Match the two numbers with their least common multiple (LCM). Match Term Definition b 6 and 4 A) 24 a 6 and 8 B) 12 c 6 and 10 C

) 30
Mathematics
2 answers:
almond37 [142]4 years ago
8 0
The LCM of 6 and 4 is 12.  The LCM of 6 and 8 is 24.  The LCM of 6 and 10 is 30.

To find the LCM, we find the prime factorization of each number.

6 = 2*3
4 = 2*2

They have a 2 in common, so this is one factor of the LCM.  We then take the uncommon factors, 3 and 2, giving us

2*3*2 = 12.

6 = 2*3
8 = 2*2*2

LCM = 2 (in common) * 3 * 2 * 2 (uncommon) = 24.

6 = 3*2
10 = 5*2

LCM = 2 (in common) * 3 * 5 (uncommon) = 30.
Vera_Pavlovna [14]4 years ago
8 0

Answer:

The LCM of 6 and 4 is 12.  The LCM of 6 and 8 is 24.  The LCM of 6 and 10 is 30.

To find the LCM, we find the prime factorization of each number.

6 = 2*3

4 = 2*2

They have a 2 in common, so this is one factor of the LCM.  We then take the uncommon factors, 3 and 2, giving us

2*3*2 = 12.

6 = 2*3

8 = 2*2*2

LCM = 2 (in common) * 3 * 2 * 2 (uncommon) = 24.

6 = 3*2

10 = 5*2

LCM = 2 (in common) * 3 * 5 (uncommon) = 30.

Step-by-step explanation:

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