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I need help with these two questions please !

I need help with these two questions please !-example-1
User Naome
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1 Answer

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Answer:

9. 60

10. 12

Explanation:

9.

We need to find the least common multiple (LCM) of 12 and 15.

Here are two methods:

Method 1

List several multiples of each number until you find the smallest number that is a multiple of both.

Multiples of 12: 12, 24, 36, 48, 60, 72

Multiples of 15: 15, 30, 45, 60, 75

60 is the LCM of 12 and 15.

Answer: 60

Method 2

Find the prime factorization of both numbers.

12 = 2² × 3

15 = 3 × 5

The LCM is the product of the following factors:

Common and not common prime factors with greater exponent.

2 is not common. Use 2².

3 is common. Use 3.

5 is not common. Use 5.

LCM = 2² × 3 × 5 = 60

Answer: 60

10.

We need the LCM of 4 and 6.

I'll use the second method above which is prime factorization.

4 = 2²

6 = 2 × 3

LCM = 2² × 3 = 12

Answer: 12

User Nikita
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