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Answer:

LCD = 270

Equivalent Fractions with the LCD

1/6 = 45/270

13/27 = 130/270

4/5 = 216/270

3/10 = 81/270

2/5 = 108/270

The lowest common denominator of the set of fractions 1/6, 13/27, 4/5, 3/10, 2/5 is 270.

What is lowest common denominator?

The lowest common denominator of LCD is least common multiple of denominators of the fractions

How to find LCD?

Here we have given denominators of the fractions

6, 27, 5, 10, 5

Prime factorization of

6 = 2x3

27 = 3x3x3

5 = 5

10 = 2x5

5 = 5

Therefore the lcm is 2x3x3x3x5 = 270

The required LCD is 270

This is the conclusion to the answer.

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