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LCM is found by factoring, but then you must use all from each, with no repeats
Find LCM for 14x2y3z and 21 xy4
factor 14x2y3 = 2.7 x x y y y z
factor 21 xy4 = 3.7 x y y y y
factors 2, 7, x , x , y, y, y, z, 3, y now multiply all these
so LCM = 2.7 x x y y y z . 3 y = 42x2y4zthis can give us a few rules
use all numerical factors
use all variable factors with the Largest exponent from each.
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How do you find the LCM of two monomials with variables and exponents?
Example: 3x4y2 and 9x3y5 Treat the whole numbers normally. The LCM of 3 and 9 is 9. Choose the highest value of the variables. In this case, the LCM is 9x4y5
How do you find the gcf and LCM of numbers with variables and-exponents?
For the greatest common factor, you check which variables appear in each of the expressions. In the case of exponents, you take the lowest exponent for each variable. For the least common multiple, you take each variable, whether it appears in all of the expressions involved, or only in some of them. In the case of the exponents, you take the greatest exponent for each variable. If there are numeric coefficients (numbers as products), you take either the gcf or the lcm of those in the usual way.
When subtracting what to do with the exponents?
It depends on whether you are working with variables. You cannot add terms with variables that have unlike exponents.
How do you find LCM with variables with exponents?
1. Factor all possible parts 2. split the denominator 3. cross out 4. add like termms 5. simplify 6. done 7. math sucks
When dividing variables with exponents subtract exponents?
Yes. When you divide one variable with an exponent from another, you subtract the exponents
