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Find the number of positive integers less than 601 that are not divisible by 4 or 5 or 6

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The number of positive integers less than 601 that are divisible by 4 


\lbrack\dfrac{600}{4}\rbrack=150

The number of positive integers less than 601 that are divisible by 6 


\lbrack\dfrac{600}{6}\rbrack=100

The number of positive integers less than 601 that are divisible by 5 


\lbrack\dfrac{600}{5}\rbrack=120

The number of positive integers less than 601 that are divisible by 4 and 6


\lbrack\dfrac{600}{12}\rbrack=50

The number of positive integers less than 601 that are divisible by 4 and 5 


\lbrack\dfrac{600}{20}\rbrack=30

The number of positive integers less than 601 that are divisible by 5 and 6 


\lbrack\dfrac{600}{30}\rbrack=20

The number of positive integers less than 601 that are divisible by 4, and 5, and 6 


\lbrack\dfrac{600}{60}\rbrack=10

The number of positive integers less than 601 that are divisible by 4 or 5 or 6


150+100+120-50-30-20+10=280

The number of positive integers less than 601 that are not divisible by 4 or 5 or 6


600-280=320


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Question ID: mtid-5-stid-8-sqid-991-qpid-846