MathPlotAI Logo MathPlotAI

Finding LCM by Listing Multiples by Alex CHIK

Finding LCM by Listing Multiples by Alex CHIK
Loading the math board and drawing, please wait…
2020-01-12 23:10
Sequence
This example demonstrates how to find the least common multiple (LCM) of two natural numbers using the listing method. Key mathematical concepts include natural numbers, multiples, and LCM. GeoGebra commands such as Sequence and Append are used to construct sequences, providing a visual understanding of the LCM concept. Suitable for students from upper elementary to middle school.

GeoGebra Commands & Parameters

  1. Append("", Sequence[Text[i], i, 1, 30]) → listNum
  2. If(SelectedIndex[listNum1] > 1, SelectedIndex[listNum1] - 1) → n1
  3. If(SelectedIndex[listNum2] > 1, SelectedIndex[listNum2] - 1) → n2
  4. If(n1 > 0 ∧ n2 > 0, LCM[n1, n2], 0) → a
  5. If(t2 ≥ 1, Sequence[(n2 * i), i, 1, t2], {0}) → listMultiple2
  6. If(t1 ≥ 1, Sequence[(n1 * i), i, 1, t1], {0}) → listMultiple1
  7. Sequence((i * a), i, 1, 30) → listCM
  8. If(listMultiple1 ≟ {0} ∨ t1 ≟ 0, {0}, First[listMultiple1, t1]) → listM1
  9. If(t1 > 0, Sequence[If[IndexOf[listM1(i), listCM] ≥ 1 ∧ box1, "\blue{\bold{", ""] + (Text[listM1(i)]) + (If[IndexOf[listM1(i), listCM] ≥ 1 ∧ box1, "}}", ""]) + "\,,\," + (If[i ≟ 10 ∨ i ≟ 20, "\\", ""]), i, 1, t1], {"0"}) → listMultiText1
  10. If(listMultiple2 ≟ {0} ∨ t2 ≟ 0, {0}, First[listMultiple2, t2]) → listM2
  11. If(t2 > 0, Sequence[If[IndexOf[listM2(i), listCM] ≥ 1 ∧ box1, "\blue{\bold{", ""] + (Text[listM2(i)]) + (If[IndexOf[listM2(i), listCM] ≥ 1 ∧ box1, "}}", ""]) + "\,,\," + (If[i ≟ 10 ∨ i ≟ 20, "\\", ""]), i, 1, t2], {"0"}) → listMultiText2
  12. If(listMultiText1 ≟ {"0"}, " ", Sum[listMultiText1]) → textSum1
  13. If(listMultiText2 ≟ {"0"}, " ", Sum[listMultiText2]) → textSum2
  14. If(t1 > 1, "the first " + t1 + " multiples", t1 ≟ 1, "the first multiple") → text1
  15. If(t2 > 1, "the first " + t2 + " multiples", t2 ≟ 1, "the first multiple") → text2