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By which numbers 3, 4, 5, 6, 7, is 250 exactly divisible
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Answer:
prime factors of 2,3,4,5,6 are
2=2*1
3=3*1
4=2^2
5=5*1
6=2*3
Thus LCM(2,3,4,5,6)=2^2*3*5=60
The remainder in all cases is 1
thus the minimum possible No=60+1=61
But 61 is not divisible by 7
Now the numbers with remainder 1 when divided by 2,3,4,5 and 6 are:
61,61+60,+61+2*60,61+3*60,61+4*60,,……………..
61,121,181,241,301…
we have to find the number which is divisible by 7
we observe that 301 is divisible by 7
so the desired number is =301
Now as per required conditions
301 lies between 250 and 350 also
Thus sum of digits of 301
=3+0+1=4
Step-by-step explanation:
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