Answer
$60$
Work Step by Step
Multiples of $6$ include $\{6,12,18,24,30,36,42,48,54,60...\}$
Multiples of $10$ include $\{10,20,30,40,50,60...\}$
Multiples of $12$ include $\{12,24,36,48,60...\}$
The least common multiple in these three sets is $60$