What is the smallest positive integer n such that the fourth root of 56*n*360 is an integer?
56 * 360==20,160
20160 = 2^6 * 3^2 * 5 * 7
n==2^2 * 3^2 * 5^3 * 7^3 ==1,543,500
Check: 20,160 * 1,543,500==[31,116,960,000]^(1/4) ==420
