There are four numbers ABCD. Given that the least common multiple of a and B is 120, and that of C and D is 160, what is the least common multiple of these four numbers?

There are four numbers ABCD. Given that the least common multiple of a and B is 120, and that of C and D is 160, what is the least common multiple of these four numbers?

  ∵ 120=2×2×2×3×5;
  160=2×2×2×2×2×5;
The least common multiple of ABCD is 2 × 2 × 2 × 2 × 2 × 3 × 5 = 480;