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How many four digit numbers are divisible by all of the following: 2, 3, 5, 7, and 19?

 Jan 12, 2022
 #1
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3990 , 7980 , Total =  2 such numbers.

 Jan 12, 2022
 #2
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They are all prime numbers so the smallet multiple of them all is

 

2*3*5*7*19 = 3990

 

then every multiple of that will also be divisable by all the little ones.

 Jan 12, 2022

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