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

  1. 4032
  2. 4302
  3. 4203
  4. 4023
Anurag Mishra Professor Asked on 29th December 2015 in Maths.
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1 Answer(s)

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. 

Monis Rasool Professor Answered on 29th December 2015.
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