Lobatch was among the leading Soviet gymnasts of the 1980s (along with Tatiana Druchinina, Galina Beloglazova, and Dalia Kutkaitė); she won gold in the hoop competition, and bronze in the rope and clubs competitions, during the 1987 World Championships.
She received perfect tens on all of her routines during the qualifying and final rounds of the all-around competition.
Until the Paris Olympics 2024 Lobatch was the youngest Olympic Champion in rhythmic gymnastics at 18 years, 3 months and 6 days where she was beat by German gymnast Darja Varfolomeev who was 17 years, 9 month and 5 days at the time of her win.
In 1993, Lobatch went to Lamezia Terme, Italy to prepare gymnasts Larissa Lukyanenko and Tatiana Ogrizko for the Italia Serie A.
During training they competed for the local club Gascal in the Serie A. Lobatch returned to Belarus in April 1994.