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Finding the LCM

Finding the LCM. Rule 6‑1: To find the lowest common multiple of numbers containing literal numbers: factor each term; determine the maximum number of times a prime factor appears in any one term; multiply the resulting prime factors found in step 2. This number is the LCM.

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Finding the LCM

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  1. Finding the LCM Rule 6‑1: Tofind the lowest common multiple of numbers containing literal numbers: • factor each term; • determine the maximum number of times a prime factor appears in any one term; • multiply the resulting prime factors found in step 2. This number is the LCM.

  2. Multiplication with Literal Numbers Key Point: • In multiplication, all the literal numbers contained in the multiplicand and the multiplier must appear in the product unless the exponent is zero.

  3. Multiplying Fractions Key Point: To multiply fractions, we • Cancel factors that are common to both numerators and denominators. • Multiply the remaining numerators (their product is the numerator of the answer). • Multiply the remaining denominators (their product is the denominator of the answer).

  4. Adding and Subtracting Fractions Rule 6‑2: To add (or subtract) fractions with unlike denominators: • find the CD. • Change the denominator of all fractions to this denominator. • Divide the CD by the old denominator of each fraction

  5. Adding and Subtracting Fractions (cont.) • Then multiply this number by the old numerator to find the new numerator of the fraction. • Add (or subtract) the fractions, combining all like terms in the numerator. • Reduce the answer to the lowest terms.

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