A number of students can be arranged in 5, 10, and 15 rows, and also into a solid square . Find the least number of students.
LCM(5,10,15) = 30
so, 900 students
To find the least number of students that can be arranged in 5, 10, and 15 rows, and also into a solid square, we need to determine the least common multiple (LCM) of these numbers.
Step 1: List the multiples of each number until you find a common multiple.
Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, ...
Multiples of 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, ...
Multiples of 15: 15, 30, 45, 60, 75, 90, 105, 120, 135, ...
Step 2: Identify the smallest number that appears in all three lists.
The smallest number that appears in all three lists is 30.
Therefore, the least number of students that can be arranged in 5, 10, and 15 rows, and also into a solid square, is 30.