Question

The number between 2500-3000 completely divisible by 21,24,and 28 is

Answer 1

2856 is the number which can be divided by 21,24,28

Answer 2

Answer:

LCM of 21,24 and 28 :

21=3*7

24=2*2*2*3

28=2*2*7

LCM= 2*2*2*3*7=168

Smallest digit between 2500 and 3000 divisible by 21,24 and 28 =

168)2500(14

2352

-----------

148

So, Smallest digit between 2500 and 3000 divisible by 21,24 and 28 =2500+(168-148)=2520

Next digit = 2520+168=2688

3rd digit= 2688+168=2856

4th digit=2856+168=3024 >3000

So total numbers between 2500 and 3000 which are divisible by 21,24 and 28=3