Florence tutors students in groups of 18. Meanwhile, Harold tutors students in groups of 13. While discussing their work, the tutors realize that they both work with the same total number of students. What is the smallest number of students each can have?

Bobby tutors students in groups of 8. Meanwhile, Polly tutors students in groups of 12. While discussing their work, the tutors realize that they both work with the same total number of students. What is the smallest number of students each can have?

Anna and her friends made dinner reservations at two local restaurants on two different days. While the first restaurant sat all the friends in groups of 4, the second restaurant sat all the friends in groups of 20. What is the smallest number of people that could be in the group?

n a school, the ratio of students in three sections A, B and C is 17 : 13 : 15. Due to the Inter-School competition, some new students were added to sections A and C. As a result, the ratio of the students of sections A, B and C becomes 14 : 10 : 23. What is the minimum possible number of students that were there in the three sections initially?

A school in rural area has got very tiny classroom where a particular set of students are made to stand in rows of 8, 12 or 14 each. What will be the least number of students who can be occupied in the classroom?

Rob realizes that the number on the classroom door is divisible by 12, and his classmate points out that it is also divisible by 13. What is the smallest possible number that could be on the classroom door?