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How do you find least common multipleand greatest common factor with a number that has variables and exponents next to it?
Wiki User
∙ 8y ago
Do the numerical factors (coefficients) first. For the GCF of the variables, choose the lowest power of each. For the LCM of the variables, choose the highest power of each.
Example 6x2y3z4 and 9x3y4z2
The GCF is 3x2y3z2
The LCM is 18x3y4z4
Wiki User
∙ 8y ago
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How do you find the greatest common factor of variables?
Choose the lowest of the exponents. The GCF of x3 and x5 is x3
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.
What is the greatest common factor of 12 and 15 using exponents?
The GCF is 3. No exponents needed.
How do you find the greatest common factor of variables with exponents?
GCF of variables with exponents The GCF is the common variable with smallest exponent. example 9x4 - 27x6 the gcf is 9X4 because: 9x4 (1-3x2) = 9x4 - 27x6 In the same way: X5 is the GCF of X10 + x5 -x6 Because X5 ( X5 + 1 -x1) = X10 + x5 -x6 Remember the exponent rule if you are multiplyin the same base, you keep the base and add the exponents Hope this helps Btw this does not help me! anna
How do you find GCF with varaibles only?
You look at the exponents. x5y2 and x3y4 The greatest common factor of these is the largest exponent of each. So the greatest common factor is: x3y2
What is the greatest common factor of letters with exponents?
Just choose the smaller exponent. The GCF of a3 and a5 is a3
When subtracting variables with exponents do you add or subtract the exponenets?
You cannot ad or subtract variables with different exponents: the exponents must be the same. The coefficients are added or subtracted and the exponent of the answer is the common exponent. (The rules are similar to those for the denominators of fractions.)Thus 2x^2 + 5x^3 cannot be combined into a single term.while 2x^2 + 5x^2 = (2+5)*x^2 = 7x^2
Write the prime factorization using exponents of each number then find the greatest common factor of the numbers 12 and 15?
2.2.3 and
What is the greatest common factor C and B?
The greatest factors of A, B, and C, respectively, are the absolute values of A, B, and C. The greatest common factor of A, B, and C is 1.
What is the greatest common factor of A B C?
Variables can be any number, leaving an infinite number of GCF possibilities.
How do you find the Greatest Common Factor of an algebraic expression?
Let's try one. 30x2y3z4 + 42x4y5z2 Do the numbers first. Factor them. 2 x 3 x 5 = 30 2 x 3 x 7 = 42 Select the common factors. 2 x 3 = 6 For the variables, select the lowest exponents. The GCF of the above expression is 6x2y3z2
How do you find greatest common factor in an expression?
Let's try one. 30x2y3z4 + 42x4y5z2 Do the numbers first. Factor them. 2 x 3 x 5 = 30 2 x 3 x 7 = 42 Select the common factors. 2 x 3 = 6 For the variables, select the lowest exponents. The GCF of the above expression is 6x2y3z2
