A jar contains a large number of pennies. The pennies can be divided into equal shares among 3, 4, 5, 6, 7, or 8 children with no pennies left over each time. What is the least number of pennies the jar could contain?

Answer 1

it must contain all the prime factors of these numbers, so
2^3 * 3 * 5 * 7 = ______