19. (6 points) There is a strip of paper, on which there are three types of markings, dividing the strip into 6 equal parts, 10 equal parts, and 12 equal parts along its length. Now, if we cut the strip along all the markings with scissors, the strip will be divided into $\qquad$ parts.
【Solution】Solution: According to the problem, we have:
Divide the paper into 12 equal parts, no need to consider dividing it into 6 equal parts, then divide the paper into 10 equal parts.
Assume the length of the paper is $120 \mathrm{~cm}$, then 10 equal divisions result in 12 sections, if divided into 12 equal parts, it results in 10 sections. Based on the least common multiple of 10 and 12 being 60, and the common multiples being 60 and 120, there will be two overlapping points, so the total number of sections is $10+12-2=20$ (sections). Therefore, the answer is: 20.