Question

Find the largest four-digit number which when divided by 4, 7, and 13 leaves a.remainder of 3 in each case,
​

Answer 1

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.

Answer 2

Answer:

9831

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.