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

Question

Iteru [2.4K]

3 years ago

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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] · Answer 1 · 2022-03-06T14:04:39+03:00

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] · Answer 2 · 2022-03-06T16:30:59+03:00

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: