What Fresh Ell Is This
1 Flemish ell = 27 inches
1 Scottish ell = 37 inches
1 German ell = 22.8 inches
1 Danish ell = 24.7 inches
Find the smallest positive integer number of inches that is an integer multiple of all 4 varieties of ell.
The answer is 493506.
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1 solution
We need to find a number that has as factors 27, 37, 114 and 247.
27 = 3 3 , 37 is prime, 114 = 2 * 3 * 19, and 247 = 13 * 19.
So the smallest such number is 2 * 27 * 13 * 19 * 37 = 493506