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anonymous

  • one year ago

finding the LCM... 10q2, 35s2t2 and 4x - 12, 2x - 6

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  1. anonymous
    • one year ago
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    @jim_thompson5910

  2. jim_thompson5910
    • one year ago
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    what is the LCM of 10 and 35

  3. anonymous
    • one year ago
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    i don't know :(

  4. jim_thompson5910
    • one year ago
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    list out the multiples of each and see what multiples they have in common

  5. anonymous
    • one year ago
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    5

  6. jim_thompson5910
    • one year ago
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    multiples of 10 10, 20, 30, ... multiples of 35 35, 70, 105, ...

  7. anonymous
    • one year ago
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    oh I'm a idiot. okay yes makes so much more sense then me over here. let me do that now.

  8. anonymous
    • one year ago
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    70, 140, 210, 280.

  9. jim_thompson5910
    • one year ago
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    which is the smallest common multiple

  10. anonymous
    • one year ago
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    sorry jim. I'm a little slow. and its 70.

  11. jim_thompson5910
    • one year ago
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    correct

  12. jim_thompson5910
    • one year ago
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    now with the variable portion, we just multiply the distinct factors q^2, s^2, t^2 So the LCM is \(\Large 70q^2s^2t^2\)

  13. anonymous
    • one year ago
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    i had that before and i thought it was wrong but okay good to know!

  14. anonymous
    • one year ago
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    i had for the next one 4(x-3) is that wrong?

  15. jim_thompson5910
    • one year ago
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    that's when you factor 4x - 12

  16. jim_thompson5910
    • one year ago
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    how about the factorization of 2x - 6

  17. anonymous
    • one year ago
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    when i do the multiple thing?

  18. anonymous
    • one year ago
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    thats called factorization? dont want to be over here doing something way different then your asking me to do.

  19. jim_thompson5910
    • one year ago
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    yeah when you go from 4x - 12 to 4(x-3). It's called factoring

  20. jim_thompson5910
    • one year ago
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    you factor the terms as much as possible to help find the LCM

  21. jim_thompson5910
    • one year ago
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    4x - 12 factors to 4(x-3) 2x - 6 factors to 2(x-3)

  22. anonymous
    • one year ago
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    okay. that makes some sense.

  23. jim_thompson5910
    • one year ago
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    what is the LCM of 4 and 2

  24. anonymous
    • one year ago
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    8

  25. jim_thompson5910
    • one year ago
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    there's a smaller common multiple: it's 4

  26. jim_thompson5910
    • one year ago
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    4 is a multiple of itself

  27. anonymous
    • one year ago
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    i was thinking that but wasn't sure if that counted because it as you said is a multiple of its self.

  28. jim_thompson5910
    • one year ago
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    so the LCM of 4(x-3) and 2(x-3) is \(\Large 4(x-3)\) we only list the (x-3) factor once because we list the highest unique factorization

  29. anonymous
    • one year ago
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    okay, so thats it?

  30. jim_thompson5910
    • one year ago
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    yes

  31. anonymous
    • one year ago
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    thats what i had before. ill argue that its right if my teacher says its wrong again!! if i need you again ill reach out! thanks so much.. thanks for the patience too!

  32. jim_thompson5910
    • one year ago
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    well you can either say 4(x-3) or 4x-12

  33. jim_thompson5910
    • one year ago
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    either works

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