Question

Smallest 4 digit no. which is totally divisible by 6,8,12,and 20

Answer 1

As we know smallest 4 digit number is 1000.

Now,

We have to find LCM of 6 , 8 , 12 , and 20.

6 :- 2×3

8 :- 2×2×2

12 :- 2×2×3

20 :- 2×2×5

LCM ::-- 120


Now, Smallest number :- 1000

120) 1000 ( 9
960
-______
40

The number :- 1000+( 120-40 )
:- 1000+80
:- 1080

The required no. is 1080

@Altaf

Answer 2

as we know four digit no is 1000.

Find the LCM of 6,8,12,and 20.

6:2×3.
8:2×2×2.
12:2×2×3.
20:2×2×5

LCM is 120

smallest no is 1000.

1000÷120=8.333
remainder is 40.
the number is : 1000+(120-40)
: 1000+80
: 1080


so the required no is 1080.