What is the least number of oranges exactly distributed among groups of 10, 11, and 17 students?
Answer: 1870
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.
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