Question 1009572
{{{100/3=33&1/3}}} , so there are {{{33}}} integers less than or equal to 100 that are multiples of 3.
They are
{{{1*3=3}}} , {{{2*3=6}}}  ,{{{3*3=9}}} , {{{...}}} , {{{32*3=96}}} , and {{{33*3=99}}} .
 
{{{100/5=20}}} , so there are {{{20}}} integers less than or equal to 100 that are multiples of 5.
They are
{{{1*5=5}}} , {{{2*5=10}}}  ,{{{3*5=15}}} , {{{...}}} , {{{19*5=95}}} , and {{{20*5=100}}} .
Of those {{{20}}} , there are some that are multiples of both 3 and 5,
and they are counted twice in the {{{33+20}}} multiples of 3 or multiples of 5 listed above.
 
Positive integers that are multiples of both 3 and 5, are multiples of {{{3*5=15}}} .
{{{100/15=6}}} , so there are {{{6}}} integers less than or equal to 100 that are multiples of 15 (multiples of both 3 and 5).
They are
{{{1*15=15}}} , {{{2*15=30}}}  ,{{{3*15=45}}} , {{{4*15=60}}} , {{{5*15=75}}} , and {{{6*15=90}}} .
 
The number of positive integers less than or equal to 100 that are
multiples of 3 or multiples of 5 or multiples of both 3 and 5 is
{{{33+20-6=highlight(47)}}} .