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What is the least common denominator of 4/7, 5/14, and 4/15.

1 Answer

6 votes

Answer:

210

Explanation:

Rewriting input as fractions if necessary:

4/7, 5/14, 4/15

For the denominators (7, 14, 15) the least common multiple (LCM) is 210.

LCM(7, 14, 15)

Therefore, the least common denominator (LCD) is 210.

Calculations to rewrite the original inputs as equivalent fractions with the LCD:

4/7 = 4/7 × 30/30 = 120/210

5/14 = 5/14 × 15/15 = 75/210

4/15 = 4/15 × 14/14 = 56/210

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