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What is the LCM of 8, 12, and 15?

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Question: What is the LCM of 8, 12, and 15?

Options:

  1. 120
  2. 60
  3. 30
  4. 90

Correct Answer: 120

Solution: 

The LCM of 8, 12, and 15 is 120, as it is the smallest number that is a multiple of all three.

What is the LCM of 8, 12, and 15?

Practice Questions

Q1
What is the LCM of 8, 12, and 15?
  1. 120
  2. 60
  3. 30
  4. 90

Questions & Step-by-Step Solutions

What is the LCM of 8, 12, and 15?
Correct Answer: 120
  • Step 1: List the multiples of each number.
  • Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120, ...
  • Multiples of 12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, ...
  • Multiples of 15: 15, 30, 45, 60, 75, 90, 105, 120, ...
  • Step 2: Find the smallest number that appears in all three lists of multiples.
  • The smallest common multiple in all three lists is 120.
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