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Grade: 12th Pass

                        

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

9 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......

9 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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