How many positive integers less than 5,000 are evenly divisible by neither 18 nor 21?
Choose the correct answer.
A) 4,514	B) 4,475	C) 4,521	D) 4,428	E) 4,349
integers less than 5000 divisible by 18 5000/18 =333.something , so 333   integers less than 5000 divisible by 21 5000/21 = 238.## , so 238   we have double counted some, so take LCM of 18 and 21 =105 and divide by 5000, we get 47. so all numbers divisible by 18 and 21 = 333 +238 -47= 
<gadget id="calculator">333 +238 -47</gadget>
<output>524</output>
524   now subtract that from 4999. 4999- 524= 4428 answer 4,428.
<result>D</result>
How many positive integers less than 5,000 are evenly divisible by neither 18 nor 21?