List the first multiples of each number:
Multiples of 10
[tex]\begin{gathered} 10\colon10,20,30,40,50,60,70,80,90,100,110,120,130,140,150,160,170,180,190,200,210, \\ 220,230,240,250,260,270,280,290,300 \end{gathered}[/tex]Multiples of 29:
[tex]29\colon29,58,87,116,145,174,203,232,261,290,319[/tex]As you can see the smallest number which can be exactly divided by 10 and 29 (Least common multiple) is 290