The sum of three consecutive even numbers is 24, and the least common multiple of these three numbers is______ .

The sum of three consecutive even numbers is 24, and the least common multiple of these three numbers is______ .

24 △ 3 = 8, then the other two even numbers are 8-2 = 6, 8 + 2 = 10, then the three even numbers are 6, 8 and 10, 8 = 2 × 2 × 2, 6 = 2 × 3, 10 = 2 × 5, so the least common multiple of 6, 8 and 10 is 2 × 2 × 2 × 3 × 5 = 120