Task 1. The frog has a jump of $50 \mathrm{~cm}$, the rabbit $75 \mathrm{~cm}$, and the kangaroo $90 \mathrm{~cm}$. What is the smallest distance at which all will make an integer number of jumps. How many jumps will each of the animals then make?
Solution. It is enough to find the least common multiple of the numbers 50, 75, and 90. Since $\operatorname{LCM}(50,75,90)=450$, the smallest distance at which they will make a whole number of jumps is 450 cm. In doing so, the frog will make 9 jumps, the rabbit 6, and the kangaroo 5 jumps.