The lowest common denominator of the set of fractions 1/6, 13/27, 4/5, 3/10, 2/5 is 270.
The lowest common denominator of LCD is least common multiple of denominators of the fractions.
given fractions:
1/6, 13/27, 4/5, 3/10, 2/5
taking the Prime factorization of denominator of the fractions
6 = 2x3x1
27 = 3x3x3x1
5 = 5x1
10 = 2x5x1
5 = 5x1
Therefore, lcm is 2x3x3x3x5 = 270
so, LCD is 270
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