![]() Obtain the LCM in Arithmetic Example 8.3.1 Find LCM(3, 6, 15). First, let’s take a look at the method in finding the LCM in arithmetic. In this section, we obtain LCDs of rational expressions. 4 2 + 2 in the denominator after doing this. Since rational expressions are fractions with polynomials, we use the LCD to add and subtract rational expression with different denominators.Since rational expressions are fractions with polynomials, we use the LCD to add and subtract rational expression with different denominators. ![]() The expression or a number that is used to convert an irrational denominator into a rational denominator is called a rationalizing factor. ![]() If your fraction contains a sum of two terms in the denominator, at least one of which is irrational, then you cannot multiply the fraction by it in the numerator and denominator. As with fractions in arithmetic, the least common denominator or LCD is the lowest common multiple (LCM) of the denominators. The procedure of converting the irrational denominator into a rational denominator is called rationalizing the denominator.
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