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Lowest Common Multiple Demo

Lowest Common Multiple Demo
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2014-09-17 20:39
FunctionTrigonometryGeometric ConstructionSlider Animation
In collections Types of Number
This example demonstrates the calculation and visualization of the lowest common multiple (LCM) of two integers. It involves core mathematical concepts such as prime factorization, greatest common divisor (GCD), and LCM. The construction uses GeoGebra commands/objects like Textfield, TableText, PrimeFactors, GCD, LCM. Suitable for middle school students and above learning number theory or for mathematical teaching demonstrations.

GeoGebra Commands & Parameters

  1. Textfield(a) → inputBox1
  2. Textfield(b) → inputBox2
  3. Textfield(c) → inputBox3
  4. TableText({{A2}, {A3}, {A4}, {A5}, {A6}, {A7}, {A8}, {A9}, {A10}, {A11}, {A12}, {A13}, {A14}, {A15}, {A16}, {A17}, {A18}, {A19}, {A20}, {A21}, {A22}, {A23}, {A24}, {A25}, {A26}, {A27}, {A28}, {A29}, {A30}, {A31}, {A32}, {A33}, {A34}, {A35}, {A36}, {A37}, {A38}, {A39}, {A40}, {A41}, {A42}, {A43}, {A44}, {A45}, {A46}, {A47}, {A48}, {A49}, {A50}, {A51}, {A52}, {A53}, {A54}, {A55}, {A56}, {A57}, {A58}, {A59}, {A60}, {A61}, {A62}, {A63}, {A64}, {A65}, {A66}, {A67}, {A68}, {A69}, {A70}, {A71}, {A72}, {A73}, {A74}, {A75}, {A76}, {A77}, {A78}, {A79}, {A80}, {A81}, {A82}, {A83}, {A84}, {A85}, {A86}, {A87}, {A88}, {A89}, {A90}, {A91}, {A92}, {A93}, {A94}, {A95}, {A96}, {A97}, {A98}, {A99}, {A100}, {A101}, {A102}, {A103}, {A104}, {A105}, {A106}, {A107}, {A108}, {A109}, {A110}, {A111}, {A112}, {A113}, {A114}, {A115}, {A116}, {A117}, {A118}, {A119}, {A120}, {A121}, {A122}, {A123}, {A124}, {A125}, {A126}, {A127}, {A128}, {A129}, {A130}, {A131}, {A132}, {A133}, {A134}, {A135}, {A136}, {A137}, {A138}, {A139}, {A140}, {A141}, {A142}, {A143}, {A144}, {A145}, {A146}, {A147}, {A148}, {A149}, {A150}, {A151}, {A152}, {A153}, {A154}, {A155}, {A156}, {A157}, {A158}, {A159}, {A160}, {A161}, {A162}, {A163}, {A164}, {A165}, {A166}, {A167}, {A168}, {A169}, {A170}, {A171}, {A172}, {A173}, {A174}, {A175}, {A176}, {A177}, {A178}, {A179}, {A180}, {A181}, {A182}, {A183}, {A184}, {A185}, {A186}, {A187}, {A188}, {A189}, {A190}, {A191}, {A192}, {A193}, {A194}, {A195}, {A196}, {A197}, {A198}, {A199}, {A200}}, "|_") → Multiples_1
  5. TableText({{C2}, {C3}, {C4}, {C5}, {C6}, {C7}, {C8}, {C9}, {C10}, {C11}, {C12}, {C13}, {C14}, {C15}, {C16}, {C17}, {C18}, {C19}, {C20}, {C21}, {C22}, {C23}, {C24}, {C25}, {C26}, {C27}, {C28}, {C29}, {C30}, {C31}, {C32}, {C33}, {C34}, {C35}, {C36}, {C37}, {C38}, {C39}, {C40}, {C41}, {C42}, {C43}, {C44}, {C45}, {C46}, {C47}, {C48}, {C49}, {C50}, {C51}, {C52}, {C53}, {C54}, {C55}, {C56}, {C57}, {C58}, {C59}, {C60}, {C61}, {C62}, {C63}, {C64}, {C65}, {C66}, {C67}, {C68}, {C69}, {C70}, {C71}, {C72}, {C73}, {C74}, {C75}, {C76}, {C77}, {C78}, {C79}, {C80}, {C81}, {C82}, {C83}, {C84}, {C85}, {C86}, {C87}, {C88}, {C89}, {C90}, {C91}, {C92}, {C93}, {C94}, {C95}, {C96}, {C97}, {C98}, {C99}, {C100}, {C101}, {C102}, {C103}, {C104}, {C105}, {C106}, {C107}, {C108}, {C109}, {C110}, {C111}, {C112}, {C113}, {C114}, {C115}, {C116}, {C117}, {C118}, {C119}, {C120}, {C121}, {C122}, {C123}, {C124}, {C125}, {C126}, {C127}, {C128}, {C129}, {C130}, {C131}, {C132}, {C133}, {C134}, {C135}, {C136}, {C137}, {C138}, {C139}, {C140}, {C141}, {C142}, {C143}, {C144}, {C145}, {C146}, {C147}, {C148}, {C149}, {C150}, {C151}, {C152}, {C153}, {C154}, {C155}, {C156}, {C157}, {C158}, {C159}, {C160}, {C161}, {C162}, {C163}, {C164}, {C165}, {C166}, {C167}, {C168}, {C169}, {C170}, {C171}, {C172}, {C173}, {C174}, {C175}, {C176}, {C177}, {C178}, {C179}, {C180}, {C181}, {C182}, {C183}, {C184}, {C185}, {C186}, {C187}, {C188}, {C189}, {C190}, {C191}, {C192}, {C193}, {C194}, {C195}, {C196}, {C197}, {C198}, {C199}, {C200}}, "|_") → Multiples_3
  6. TableText({{B2}, {B3}, {B4}, {B5}, {B6}, {B7}, {B8}, {B9}, {B10}, {B11}, {B12}, {B13}, {B14}, {B15}, {B16}, {B17}, {B18}, {B19}, {B20}, {B21}, {B22}, {B23}, {B24}, {B25}, {B26}, {B27}, {B28}, {B29}, {B30}, {B31}, {B32}, {B33}, {B34}, {B35}, {B36}, {B37}, {B38}, {B39}, {B40}, {B41}, {B42}, {B43}, {B44}, {B45}, {B46}, {B47}, {B48}, {B49}, {B50}, {B51}, {B52}, {B53}, {B54}, {B55}, {B56}, {B57}, {B58}, {B59}, {B60}, {B61}, {B62}, {B63}, {B64}, {B65}, {B66}, {B67}, {B68}, {B69}, {B70}, {B71}, {B72}, {B73}, {B74}, {B75}, {B76}, {B77}, {B78}, {B79}, {B80}, {B81}, {B82}, {B83}, {B84}, {B85}, {B86}, {B87}, {B88}, {B89}, {B90}, {B91}, {B92}, {B93}, {B94}, {B95}, {B96}, {B97}, {B98}, {B99}, {B100}, {B101}, {B102}, {B103}, {B104}, {B105}, {B106}, {B107}, {B108}, {B109}, {B110}, {B111}, {B112}, {B113}, {B114}, {B115}, {B116}, {B117}, {B118}, {B119}, {B120}, {B121}, {B122}, {B123}, {B124}, {B125}, {B126}, {B127}, {B128}, {B129}, {B130}, {B131}, {B132}, {B133}, {B134}, {B135}, {B136}, {B137}, {B138}, {B139}, {B140}, {B141}, {B142}, {B143}, {B144}, {B145}, {B146}, {B147}, {B148}, {B149}, {B150}, {B151}, {B152}, {B153}, {B154}, {B155}, {B156}, {B157}, {B158}, {B159}, {B160}, {B161}, {B162}, {B163}, {B164}, {B165}, {B166}, {B167}, {B168}, {B169}, {B170}, {B171}, {B172}, {B173}, {B174}, {B175}, {B176}, {B177}, {B178}, {B179}, {B180}, {B181}, {B182}, {B183}, {B184}, {B185}, {B186}, {B187}, {B188}, {B189}, {B190}, {B191}, {B192}, {B193}, {B194}, {B195}, {B196}, {B197}, {B198}, {B199}, {B200}}, "|_") → Multiples_2
  7. PrimeFactors(a) → list1
  8. PrimeFactors(b) → list2
  9. PrimeFactors(c) → list3
  10. GCD({a, b, c}) → e
  11. LCM({a, b, c}) → d
  12. LCM(a, b) → i