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When reducing fractions to their lowest terms or finding the LCD of fractions
By finding the lowest common multiple of the fractions with different denomiators that need to be added or subtracted
It assists in the proper addition and subtraction of fractions.
The LCD for fractions is the LCM (least common multiple) of all of the denominators.
The LCD, or Lowest Common Denominator, is the smallest multiple of each of the denominators of a set of fractions. So, assuming that 2, 4 and 5 are denominators of fractions (1/2, 1/4 and 1/5, for example), the LCD would be 20, because 20 is the lowest number that 2, 4 and 5 multiply into. So, your new fractions would be 10/20, 5/20 and 4/20. The purpose of finding the LCD is to allow for multiplying fractions together, or simply comparing them easily.
The greatest common factor, or GCF, is the largest number that can divide evenly with no remainder into all the members of a given set of numbers. The least common multiple, or LCM, is the smallest number that all the members of a given set of numbers can divide into evenly with no remainder. The lowest common denominator, or LCD, is essentially the same thing as the LCM except the numbers being compared are the bottom parts of fractions.
The LCD of two fractions is the same as the LCM of their denominators.
There doesn't appear to be any fractions there but to find the LCD of fractions is done in the same way as finding the lowest common multiple of numbers.
When you are adding or subtracting fractions with unlike denominators, you need to find a least common denominator, or LCD. The process is the same as finding an LCM between two integers.
LCD
Once you find the LCD, convert the fractions to their equivalents and then you can add and/or subtract them correctly.
Finding the LCM helps you add and subtract fractions accurately.