What is the least number of oranges exactly distributed among groups of 10, 11, and 17 students?
What is the least number of oranges exactly distributed among groups of 10, 11, and 17 students?
Explanation
Find the least common multiple (LCM) of 10, 11, and 17.
The LCM of 10, 11, and 17 is the smallest number that is a multiple of all three numbers.
Calculate the LCM.
The prime factorization of the numbers is:
10 = 2 × 5
11 = 11
17 = 17
The LCM is the product of the highest powers of all prime factors: LCM = 2 × 5 × 11 × 17 = 1870.