What is the least postitive integer that is divisible by 1-10?

Answer 1

11

Answer 2

To divide by 10, the number needs a factor of 2 and 5 : 2 x 5 To divide by 9, the number needs two factors of 3 : 2 x 5 x 3 x 3 To divide by 8, the number needs three factors of 2, but we already have one, so two more : 2 x 5 x 3 x 3 x 2 x 2 To divide by 7, the number needs a factor of 7 : 2 x 5 x 3 x 3 x 2 x 2 x 7 To divide by 6, the number needs a factor of 2 and 3, it already has them. To divide by 5, the number needs a factor of 5, it already has it. To divide by 4, the number needs two factors of 2, it already has them. To divide by 3 and 2, the number needs 3 and 2 as factors, it already has them. Everything divides by 1. Answer is 2 x 5 x 3 x 3 x 2 x 2 x 7 = 2520.