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Find the least common multiple of 6 and 15.​

1 Answer

3 votes

Answer:

30

Explanation:

First, we factor these numbers

6=2*3

15=3*5

To find LCM, we have to take the largest sample of each factor from both 6 and 15

For the prime factor 2, 6 has the most, being 1

For the prime factor 3, both 6 and 15 have one 3, so we take 1

For the prime factor 5, 15 has the most, being 1

Then we multiply

One 2(2)*One 3(3)*One 5(5)=

2*3*5=30

LCM of 6 and 15 is 30

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