Find the sum of the distinct prime factors of 123 + 456 + 789.

Answer 1

First, let's find the prime factorization of each number:

123 = 3 * 41
456 = 2^4 * 3 * 19
789 = 3 * 263

Now, let's find the distinct prime factors of each number:

Distinct prime factors of 123: 3, 41
Distinct prime factors of 456: 2, 3, 19
Distinct prime factors of 789: 3, 263

Adding up the distinct prime factors, we get:
3 + 41 + 2 + 19 + 263 = 328

Therefore, the sum of the distinct prime factors of 123 + 456 + 789 is 328.