How many numbers are there between 100 and 300 which are when divided by 6, 8 or 9 leaves no remainder?
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Step-by-step explanation:
Prime factors of 4,7 and 13
4=2×2
7 and 13 are prime numbers
LCM (4,7,13)=36
we know that, the largest 4 digit number is 9999.
Step 1 : divide 9999 by 364, we get
364
9999
=171
Step 2: subtract 171 from 9999
9999−171=9828
Since a remainder of 3 is to be left
9282+3=9831
therefore 9831 is the number.
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