How many positive integers less than 5,000 are evenly divisible by neither 16 nor 21? Choose the correct option
A) 4,514	B) 4,475	C) 4,521	D) 4,428	E) 4,349
integers less than 5000 divisible by 16 5000/16 =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 16 and 21 =105 and divide by 5000, we get 47. so all numbers divisible by 16 and 21 = 333 +238 -47= 
<gadget id="calculator">333 +238 -47</gadget>
<output>524</output>
524   now subtract that from 4999. 4999- 524= 4514 answer 4,514.
<result>A</result>
How many positive integers less than 5,000 are evenly divisible by neither 16 nor 21?