Project Euler 5 in Python - How can I optimize my solution?

Question

I\'ve recently been working on Project Euler problems in Python. I am fairly new to Python, and still somewhat new as a programmer.

In any case, I\'ve ran into a sp

Answer 1

up = int(input('Upper limit: '))
number = list(range(1, up + 1))
n = 1

for i in range(1, up):
    n = n * number[i]
    for j in range(i):
        if number[i] % number[j] == 0:
            n = n / number[j]
            number[i] = number[i] / number[j]
print(n)