find the lowest common denominator of these fractions.

1/2x, 3/5x, and x+6/15x

1 answer

To find the lowest common denominator of these fractions, we need to first factor the denominators and then find the least common multiple (LCM) of those factors.

The factors of the denominators are:
- 2x factors into 2 and x
- 5x factors into 5 and x
- 15x factors into 3, 5, and x

Thus, the LCM of the denominators is 2 * 3 * 5 * x = 30x.

Therefore, the lowest common denominator of the fractions 1/2x, 3/5x, and (x+6)/15x is 30x.