Question

the smallest 4-digit number completely divisible by 2,3,8,101020​

Answer 1

Answer:To get the smallest number which divides 2,3,8,10 exactly, is nothing but the L.C.M. of 2,3,8,10.

2 = 1 × 2

3 = 1 × 3

8 = 1 × 2 × 2 × 2

10 = 1 × 2 × 5

∴ L.C.M = 1 × 2 × 2 × 2 × 3 × 5 = 180

So, 120 is the smallest number which divides 2,3,8,10 exactly.

Now, to get the smallest 4-digit number, we have to multiply 120 with such a number so that the smallest 4-digit number is produced.

If multiply 120 with 9, it gives 1080, which is the smallest number which divides 2,3,8,10 exactly.

Step-by-step explanation:

Answer 2

Answer:

1080 is the answer which is exactly divided by 2,3,8,10

Step-by-step explanation:

First we have to take lcm of 2,3,8,10

The lcm of number is 120

2 2,3,8,10

_______

1,3,4,5. = Lcm of numbers = 120

_______

1, 3,2,5

= 2*3*2*5=120

Now we have to see which number is exactly divided by 120

So, 1080 is the number which is exactly divided by 120