To find the least common denominator (LCD) of three-fifths and start fraction 1 over 6 end fraction, we need to find the smallest number that both 5 and 6 can divide into evenly.
The factors of 5 are 1, 5, and 25.
The factors of 6 are 1, 2, 3, and 6.
Since neither 5 nor 6 can divide evenly into each other, we need to multiply them together to find the LCD.
5 * 6 = 30
Therefore, the LCD of three-fifths and start fraction 1 over 6 end fraction is 30.