how many positive numbers less than 100 are divisible by 3,7,4

Question

ganeshie8 · Answer

have you tried anything yet ?

anonymous · Answer

Yes i have!!!!!

ganeshie8 · Answer

share it, so that others know exactly what you're looking for :)

anonymous · Answer

so basically i have to find a positive number that is less than 100 but is divisible 3,7,4 I've tired finding numbers that are multiples of 3,7,4 but i'm still stuck!

ganeshie8 · Answer

it is either divisible by 3 or 7 or 4, right ?

ganeshie8 · Answer

and note that you don't need to find the actual numbers
you're just looking for how many such numbers exist

ganeshie8 · Answer

a number is divisible by 3 if it is of form :  3k
yes ?

anonymous · Answer

I'm not really sure!

ganeshie8 · Answer

for example : 
3 divides 12, so we can write 12 as  3*4

anonymous · Answer

yes but then 12 wouldn't be divisible by 7?

ganeshie8 · Answer

if $3$ divides some number $n$,
then we can write $n$ as some multple of $3$ :  $$\large  n = 3k$$

ganeshie8 · Answer

Oh you want the numbers to be divisible by all of 3,4, and 7 is it ?

anonymous · Answer

no, its asking how many numbers are divisible by 7,3,4 but i think ill ask my teacher tomorrow thanks for trying to help :)!

ganeshie8 · Answer

If you want numbers that are divisible by all of 7,3,4, you just need to take LCM of 7,3,4

ganeshie8 · Answer

LCM of 7,3,4 =  7*3*4 =  84

so 84 is the least positive integer thats divisible by all of given numbers 7,3,4

ganeshie8 · Answer

if that makes any sense..

anonymous · Answer

ahhhh i see so only one number is divisible by 7,3,4 omg I got it now !

anonymous · Answer

thank you !

ganeshie8 · Answer

yes :)
but if it either 7 or 3 or 4, then you may get few more... depends on the question