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You need at least two denominators to find something in common between them.

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A single number cannot have a least common denominator because "common" refers to multiples that two or more numbers have in common. You have only one number.

Q: What is the least common denominator of 120?

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The least common denominator is 120.

A common denominator, though not the least one, is 120.

There is none because the Least Common Denominator (or LCD) is the Least Common Multiple (LCM) of the denominators of two or more fractions.

120

120

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The least common denominator is 120.

120

120

A common denominator, though not the least one, is 120.

There is none because the Least Common Denominator (or LCD) is the Least Common Multiple (LCM) of the denominators of two or more fractions.

There is none because the Least Common Denominator (or LCD) is the Least Common Multiple (LCM) of the denominators of two or more fractions.

120

120.

120

120

LCD(3, 40) = 120

LCD(10, 24) = 120