Question

smallest 4digit number which is exactly divisible by 12,16,24and36​

Answer 1

Answer:

9072

Step-by-step explanation:

Let us first calculate its L.C.M

12=2*2*3

16=2*2*2*2

24=2*2*2*3

28=2*2*7

36=2*2*3*3

Therefore l.c.m

2*2*3*7*3*2*2=1008

Now greatest no of 4 digit is 9999

Let us divide 9999 by 1008

Then we will have 927 as reminder

So if we subtract 927 from 9999 then the result must be divisible by 1008 i.e the lcm of the given numbers i.e each of the numbers  

So our number will be 9999–927=9072