Question

find the smallest number of 5 digits which is exactly divisible by 12,16,20

Answer 1

LCM of 12 = 2^2 * 3

LCM of 16 = 2^4

LCM of 20 = 2^2* 5

LCM of 12,16,20 = 240.

The smallest 5 digit number which is a multiple of 240 is 10080.

Hence 10080 is the smallest number.

Answer 2

Answer:

The smallest 5 digit number is 10080.

Step-by-step explanation:

To find: this let us first find the LCM of each number

We get  

The LCM of 12=2 x 2 x 3

The LCM of 16=2 x 2 x 2 x 2

The LCM of 20=2 x 2 x 5

The LCM of 12, 16, 20=240

We know that the smallest 5 digit number as 10000  

So the number which is divisible by all the given numbers must be closer to 10000

Hence let us divide 10000 by 240

That is 10000/240

We get 41.666…. = a recurring number

=42

So 240 x 42

=10080

Check: 240 x 41=9840 = 4 digit number