Register to reply 
Question regarding mod classesby CalculusSandwich
Tags: classes 
Share this thread: 
#1
Feb2612, 03:51 AM

P: 18

Find the smallest positive integer which when divided by 12, by 17, by 45 or by 70 gives
a remainder of 4 in each case. I know I can approach this problem by writing the equivalence classes. x=4mod12 x=4mod17 x=4mod45 or x=4mod70 I also know I can find x by multiplying 12*17*45 + 4, but this isn't the smallest positive integer. Can someone help me with a formula I can use? 


#2
Feb2612, 06:33 AM

HW Helper
P: 6,188

Erm... how about the solution x=4?
It is a solution and I don't think there are any smaller positive integers that are also a solution. 


#3
Feb2612, 01:32 PM

P: 144

If you for some reason do not like the number 4, you have to add the lcm of your moduli to get the next.



Register to reply 
Related Discussions  
Simple Question about C++ classes  Programming & Computer Science  1  
Question on universailty classes  Atomic, Solid State, Comp. Physics  3  
Another terminology question. ZFC and classes.  Set Theory, Logic, Probability, Statistics  8  
Basic general ed classes before classes for 4 yr Bachelor's degree?  Academic Guidance  5  
Question on summer classes  Academic Guidance  8 