Question

Please help!, will Fan & Medal!

Answer 1

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?

Answer 2

Um, i don't understand multiples

Answer 3

are you familiar with the multiplication table?

Answer 4

yeahs

Answer 5

do you see how one column has 5, 10, 15, 20, 25, 30, ...

Answer 6

Yes

Answer 7

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

Answer 8

make sense?

Answer 9

Oh wait so the multiples are ones that can be multiplied by five??

Answer 10

the multiples of 5 are numbers which are divisble by 5

Answer 11

the multiples of 6 are....

6, 12, 18, 24, 36, ...

this is also found in your multiplication table

Answer 12

with `6, 12, 18, 24, 36, ...` we're now adding 6 each time

Answer 13

multiples of 7 (another column in your multiplication table)

7, 14, 21, 28, 35, 42, 49, ...

we're adding 7 each time

Answer 14

multiples of 8 (another column in your multiplication table)

8, 16, 24, 32, 40, 48, 56, 64, ...

we're adding 8 each time

Answer 15

Oh it makes sense now!

Answer 16

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

Answer 17

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

Answer 18

well the list of multiples of ANY number keeps going forever and ever

Answer 19

you cannot list them all

Answer 20

luckily we dont' have to

Answer 21

Yeah XD

Answer 22

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?

Answer 23

48

Answer 24

which means 48 is a multiple for both 24 and 16

Answer 25

48, 96, .... etc

notice how 48 is the smallest common multiple between the two lists

so 48 is the lowest common multiple (LCM)

Answer 26

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

Answer 27

So D??

Answer 28

wait no

Answer 29

yeah

Answer 30

@jim_thompson5910

Answer 31

No, the answer is choice A because like I said above, the LCD is 48. I hope you see how we got 48?

Answer 32

yes