2016 AMC 8 Problems/Problem 20
Contents
[hide]Problem
The least common multiple of and is , and the least common multiple of and is . What is the least possible value of the least common multiple of and ?
Solution
We wish to find possible values of , , and . By finding the greatest common factor of and , we can find that is 3. Moving on to and , in order to minimize them, we wish to find the least such that the least common multiple of and is , . Similarly, with and , we obtain . The least common multiple of and is
Video Solution by Pi Academy
https://youtu.be/wvRmxjwOUHY?si=mNtAIGDHVdPaKWUX
Video Solution(CREATIVE THINKING + ANALYSIS!!!)
~Education, the Study of Everything
Video Solution by OmegaLearn
https://youtu.be/HISL2-N5NVg?t=2340
~ pi_is_3.14
Video Solution
~savannahsolver
See Also
2016 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by Problem 19 |
Followed by Problem 21 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
All AJHSME/AMC 8 Problems and Solutions |
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