Q: What is the least common multiple of the denominators of the fractions?

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The least common denominator is the least common multiple of the denominators of the fractions.

The least common denominator of two fractions is the least common multiple of the two denominators.

It is the LCD.

If the denominators are not the same, then you have to use equivalent fractions which do have a common denominator . To do this, you need to find the least common multiple (LCM) of the two denominators.

The LCD for fractions is the LCM (least common multiple) of all of the denominators.

Probably the most common use is in adding fractions with different denominators. The least common multiple of the denominators is the least common denominator. Each fraction can be converted to one with the common denominator, and then you can add the fractions by adding their numerators.

the least common denominator

The least common denominator, or LCD

That's the least common denominator.

The least common denominator.

That's the least common denominator.

the common denominator!

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

That's known as the least common denominator.

That's the least common denominator.

If the denominators are not the same, then you have to use equivalent fractions which do have a common denominator . To do this, you need to find the least common multiple (LCM) of the two denominators. To add fractions with unlike denominators, rename the fractions with a common denominator.

The least common denominator is the least common multiple of the denominators.

the least common denominator

When adding or subtracting fractions with different denominators then the least common multiple amongst them is needed to find the lowest common denominator.

LCD

LCD

In fractions, the denominator is the bottom number. When adding or subtracting fractions, it is helpful if all the denominators are the same. To do this, we look for common denominators, which is the same process as finding the least common multiple.

The least common multiple of the denominators is knows as the LCD or least common denominator.

The Least (or Lowest) Common Multiple (LCM) is the smallest number that is a multiple of both numbers. For example: the LCM of 10 and 4 is 20, because both 10 and 4 go into 20 and 20 is the smallest number both 10 and 4 can go into. To be able to add or subtract fractions they must have the same denominator. If the denominators are different then the fractions must first be converted into equivalent fractions with a common denominator; any common denominator can be used, but by using the Least Common Multiple of the denominators as the new denominator it keeps the numbers smaller; this smallest denominator is known as the Least Common Denominator Thus the Least Common Denominator is the Least Common Multiple of the denominators of two (or more) fractions (used when adding or subtracting fractions with different denominators). As the Least Common Multiple is used most often with adding or subtracting fractions, it is often referred to as the Least Common Denominator (because the numbers being considered are usually denominators of fractions).

If the denominators are not the same, then you have to use equivalent fractions which do have a common denominator . To do this, you need to find the least common multiple (LCM) of the two denominators. To add fractions with unlike denominators, rename the fractions with a common denominator. Then add and simplify.

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