Question

2. Which set of numbers have a least common

multiple of 80?
A. 4 and 20
B. 8 and 10
C. 16 and 20
D. 12 and 40

Answer 1

The set of numbers that have a least common multiple of 80 is 16 and 20, which corresponds to option C.

Step-by-step explanation:

The question asks which set of numbers has a least common multiple (LCM) of 80. To find the answer, we can analyze each option and calculate the LCM.

• A. 4 and 20 - The multiples of 4 are 4, 8, 12, ..., and the multiples of 20 are 20, 40, 60, ... The LCM of 4 and 20 is 20.
• B. 8 and 10 - The multiples of 8 are 8, 16, 24, ..., and the multiples of 10 are 10, 20, 30, ... The LCM of 8 and 10 is 40.
• C. 16 and 20 - The multiples of 16 are 16, 32, 48, ..., and the multiples of 20 are 20, 40, 60, ... The LCM of 16 and 20 is 80, which is the correct answer.
• D. 12 and 40 - The multiples of 12 are 12, 24, 36, ..., and the multiples of 40 are 40, 80, 120, ... The LCM of 12 and 40 is 120.

Therefore, option C, 16, and 20 is the correct choice as these two numbers have a least common multiple of 80.

Answer 2

• C.

Step-by-step explanation:

Multiples of 16:

• 16, 32, 48, 64, 80

Multiples of 20:

• 20, 40, 60, 80, 100.

Here are the options verified:

• A. 4 and 20. Incorrect. It takes a while to get to 80 by 4's.
• B. 8 and 10. Incorrect. Same thing goes with A, but with 8's.
• C. 16 and 20. Correct.
• D. 12 and 40. Incorrect. 12 is not a multiple of 80.

Option C is your answer.