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what is the LCM of 10 and 35
i don't know :(
list out the multiples of each and see what multiples they have in common
multiples of 10 10, 20, 30, ... multiples of 35 35, 70, 105, ...
oh I'm a idiot. okay yes makes so much more sense then me over here. let me do that now.
70, 140, 210, 280.
which is the smallest common multiple
sorry jim. I'm a little slow. and its 70.
now with the variable portion, we just multiply the distinct factors q^2, s^2, t^2 So the LCM is \(\Large 70q^2s^2t^2\)
i had that before and i thought it was wrong but okay good to know!
i had for the next one 4(x-3) is that wrong?
that's when you factor 4x - 12
how about the factorization of 2x - 6
when i do the multiple thing?
thats called factorization? dont want to be over here doing something way different then your asking me to do.
yeah when you go from 4x - 12 to 4(x-3). It's called factoring
you factor the terms as much as possible to help find the LCM
4x - 12 factors to 4(x-3) 2x - 6 factors to 2(x-3)
okay. that makes some sense.
what is the LCM of 4 and 2
there's a smaller common multiple: it's 4
4 is a multiple of itself
i was thinking that but wasn't sure if that counted because it as you said is a multiple of its self.
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
okay, so thats it?
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!
well you can either say 4(x-3) or 4x-12