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