Find the smallest positive integer which when divided by 12, by 17, by 45 or by 70 gives(adsbygoogle = window.adsbygoogle || []).push({});

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?

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# Question regarding mod classes

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