The integer m is greater than 7 and is the first of five consecutive integers that are, respectively, multiples of 3, 4, 5, 6, and 7. Find the smallest such m.
The smallest n = 423
423 mod 3 = 0, 424 mod 4 = 0, 425 mod 5 = 0, 426 mod 6 = 0, 427 mod 7 = 0.
