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Find the LCM of a, b, c

Find the LCM of a, b, c
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2018-02-25 07:55
FunctionProbability & StatisticsGeometric Construction
This example demonstrates how to use GeoGebra to calculate the Least Common Multiple (LCM) of three numbers a, b, and c. Key mathematical concepts involved include LCM, GCD (Greatest Common Divisor), and prime factorization. The construction utilizes GeoGebra commands and objects such as Random, Append, LCM, Textfield, If, Sequence, PrimeFactors, and GCD. It is suitable for middle school and above students to understand and apply the LCM calculation method.

GeoGebra Commands & Parameters

  1. Random(1, 12) → num1
  2. Random(1, 12) → num0
  3. Append({}, num0) → list_n
  4. Random(1, 12) → num2
  5. Append(list_n, num1) → list_o
  6. Append(list_o, num2) → list_p
  7. LCM(list_p) → num3
  8. Textfield(num_{LCM}) → InputBox1
  9. If(num_{LCM} ≟ num3, "Good Job", "Sorry, try again") → check
  10. Sequence(num1, (more * num1), num1) → list1
  11. PrimeFactors(num1) → prime1
  12. PrimeFactors(num2) → prime2
  13. Sequence(num2, (more * num2), num2) → list2
  14. GCD(list_p) → num4
  15. If(num_{GCF} ≟ num4, "Good Job", "Try Again") → check_{GCF}
  16. Textfield(num_{GCF}) → InputBox2
  17. Sequence(num0, (more * num0), num0) → list0
  18. PrimeFactors(num0) → prime0

AI Drawing Prompt Reference

Display the GCD and LCM of three random numbers, verify the LCM with a text input box, and draw sequences of multiples for each number, showing their prime factorizations in different colors, finally presenting the calculated GCD and LCM results.
The prompt above was compiled from the original drawing commands and is for reference only.