# The numbers between 4000 and 5000 that is divisible by each of 12, 18, 21 and 32 is :

**Answer: (1) 4032**

**Explanation:-**

Factors of 12 = 2 x 2 x 3

Factors of 18 = 2 x 3 x 3

Factors of 21 = 3 x 7

Factors of 32 = 2 x 2 x 2 x 2 x 2

Then, L C M of 12, 18, 21 & 32 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7

= 2016

The multiple of 2016 = 2016 x 2

= 4032

Then, the number between 4000 and 5000 that is divisible by each of 12, 18, 21 and 32 is 4032.

Hence, the correct answer is option (1) 4032.