# The smallest three digit number which can be divided by 3 8 and 16 plzz give steps dont give links plz

2
by Deleted account
plzz answer this guys i ned it

2014-08-05T19:37:21+05:30

### This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
It is easy.  take the LCM of the given numbers.
3, 8, 16        3 ,  2x 2 x 2    ,  2 x 2 x 2 x 2
so  3* 2^4 = 48 is the LCM
smallest 3 digit number is 100. check for the reminder when 100 is divided by 48
reminder = 100 - 2* 48 = 4.
So it means 100  =  n * 48 + 4
if we want to make LHS divisble by 48, we have to increase RHS by 44  (48-4). then the reminder will vanish.
so 144 = (n+1) 48

2014-08-05T21:43:39+05:30

3, 8, 16        3 ,  2x 2 x 2    ,  2  x  2  x  2 x  2
so  3* 2^4 = 48 is the L C M
small  3 digit number is 100. check for the reminder when 100 is divided by 48
r = 100 - 2* 48 = 4.
So it means 100  =  n * 48 + 4
if we want to make LHS divisble by 48, we have to increase RHS by 44  (48-4). then the reminder will vanish.
so 144 = (n+1) 48