anonymous
  • anonymous
Please help!, will Fan & Medal!
Mathematics
  • Stacey Warren - Expert brainly.com
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katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
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jim_thompson5910
  • jim_thompson5910
List out the multiples of 16 and 24 multiples of 16: 16, 32, 48, 64, 80, .... multiples of 24: 24, 48, 72, 96, 120, ... which numbers are in both sets of multiples?
anonymous
  • anonymous
Um, i don't understand multiples

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jim_thompson5910
  • jim_thompson5910
are you familiar with the multiplication table?
anonymous
  • anonymous
yeahs
jim_thompson5910
  • jim_thompson5910
do you see how one column has 5, 10, 15, 20, 25, 30, ...
anonymous
  • anonymous
Yes
jim_thompson5910
  • jim_thompson5910
that list of numbers I just wrote out are multiples of 5 notice how 5+5 = 10 10+5 = 15 15+5 = 20 20+5 = 25 25+5 = 30 etc etc each time we're adding 5 to the last number to get the next number in the list
jim_thompson5910
  • jim_thompson5910
make sense?
anonymous
  • anonymous
Oh wait so the multiples are ones that can be multiplied by five??
jim_thompson5910
  • jim_thompson5910
the multiples of 5 are numbers which are divisble by 5
jim_thompson5910
  • jim_thompson5910
the multiples of 6 are.... 6, 12, 18, 24, 36, ... this is also found in your multiplication table
jim_thompson5910
  • jim_thompson5910
with `6, 12, 18, 24, 36, ...` we're now adding 6 each time
jim_thompson5910
  • jim_thompson5910
multiples of 7 (another column in your multiplication table) 7, 14, 21, 28, 35, 42, 49, ... we're adding 7 each time
jim_thompson5910
  • jim_thompson5910
multiples of 8 (another column in your multiplication table) 8, 16, 24, 32, 40, 48, 56, 64, ... we're adding 8 each time
anonymous
  • anonymous
Oh it makes sense now!
anonymous
  • anonymous
every multiple for 16; 16,32,48,64,80,96,112,128,144,160,176,192,208,224,240,256,272,288,304,320,336,352,368,384,400,416,432,448,464,480,496,512,528,544,560,576,592,608,624,640,656,672,688,704,720,736,752,768,784, and i think that is all
anonymous
  • anonymous
every multiple for 24; 24,48,72,96,120,144,168,192,216,240,264,288,312,336,360,384,408,432,456,480,504,528,552,576,600,624,648,672,696,720,744,768,792,816,840,864,888,912,936,960,984,1008,1032,1056,1080,1104,1128,1152,1176, and thats it
jim_thompson5910
  • jim_thompson5910
well the list of multiples of ANY number keeps going forever and ever
jim_thompson5910
  • jim_thompson5910
you cannot list them all
jim_thompson5910
  • jim_thompson5910
luckily we dont' have to
anonymous
  • anonymous
Yeah XD
jim_thompson5910
  • jim_thompson5910
multiples of 16 16,32,48,64,80,96,112,128,144 multiples of 24 24,48,72,96,120,144,168,192 what numbers are in both lists?
anonymous
  • anonymous
48
anonymous
  • anonymous
which means 48 is a multiple for both 24 and 16
jim_thompson5910
  • jim_thompson5910
48, 96, .... etc notice how 48 is the smallest common multiple between the two lists so 48 is the lowest common multiple (LCM)
jim_thompson5910
  • jim_thompson5910
the LCM of 16 and 24 is `48` so `48` is the LCD (lowest common denominator) of the two fractions since 16 and 24 are the denominators
anonymous
  • anonymous
So D??
anonymous
  • anonymous
wait no
anonymous
  • anonymous
yeah
anonymous
  • anonymous
@jim_thompson5910
jim_thompson5910
  • jim_thompson5910
No, the answer is choice A because like I said above, the LCD is 48. I hope you see how we got 48?
anonymous
  • anonymous
yes

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