Largest Four Digit Number Exactly Divisible

The Largest Four Digit Number Exactly Divisible by Each of 12, 15, 18 and 27 is

  1. 9690
  2. 9720
  3. 9930
  4. 9960
Monis Rasool Professor Asked on 8th June 2015 in Maths.
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1 Answer(s)

Answer: (B) 9720
Explanation:-
The LCM of 12, 15, 18 and 27
12 = 2 x 2 x 3
15 = 3 x 5
18 = 2 x 3 x 3
27 = 3 x 3 x 3
LCM = 2 x 2 x 3 x 3 x 3 x 5
= 540
Thus, the LCM of 12, 15, 18 27 is 540
The largest four digit number = 18 x 540
= 9720

Hence, the largest four digit number 9720 which is exactly divisible by 12, 15, 18 and 27.

Anurag Mishra Professor Answered on 9th June 2015.
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