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What is the LCM of 8, 12, and 15?
What is the LCM of 8, 12, and 15?
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Practice Questions
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Q1
What is the LCM of 8, 12, and 15?
120
60
30
90
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The LCM of 8, 12, and 15 is 120, as it is the smallest number that is a multiple of all three.
Questions & Step-by-step Solutions
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Q
Q: What is the LCM of 8, 12, and 15?
Solution:
The LCM of 8, 12, and 15 is 120, as it is the smallest number that is a multiple of all three.
Steps: 6
Show Steps
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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