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Grade: 12th Pass

                        

how many numbers between 200 and 600 are divisible by 4,5, and 6?

how many numbers between 200 and 600 are divisible by 4,5, and 6?

10 years ago

Answers : (2)

vikas askiitian expert
509 Points
							

a smallest  positive number which is divisible by 4,5,6 is lcm of these numbers which is 60 ,

now if any number is multiple of 60 then the condition is satisfied ...

nearest to 200 , 240 is the first number  ....

now , a+(n-1)d = Tn

   a=240 , d = 60 , Tn = 600

     240+(n-1)60 = 600

     n= 7

that means there are 7 numbers......

10 years ago
gowtham
21 Points
							240,300,360,420,480,540... are the numbers between 200 & 600 which is divisible by  LCM (4,5,6), i.e 60..      so, there is 6 numbers between 200 & 600... answer is 6.
						
3 years ago
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