Mathematics
Schweinsberg511
15

What types of problems can be solved using the GCF what types of problems can be solved using the least common multiple

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bridjetestrada

The Least Common Multiple is used to add fractions with unlike denominators: Three things can happen: 1/3 + 1/7 - the LCM is the product of the denominators (in this case 21) 2/8 + 3/16 - the LCM is the greater denominator  (in this case 16) 2/9 + 5/6 - the LCM is lower than the product of the denominators (in this case it is 18) The Greatest Common Factor is used to reduce fractions quickly: [latex] \frac{48}{72} [/latex] ÷ [latex] \frac{24}{24} [/latex] = [latex] \frac{2}{3} [/latex] By using the GCF -in this case 24, I reduced the fraction in a single step. If I kept dividing by 2/2 (not the GCF), it would take much longer: 48/72 = 24/36 = 12/18 = 6/9 and then I would still have to divide 6/9 by 3/3 to get 2/3

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