72y
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.
1. Factor all possible parts 2. split the denominator 3. cross out 4. add like termms 5. simplify 6. done 7. math sucks
18 in pime exponents is 2*32 24 in prime exponents is 23*3 LCM: 23*32 = 72
LCM(a2b5, a3b3) The LCM of both numbers HAS to have the largest coefficient of both variables. For a, it's a3, and for b it is b5. So the LCM is a3b5.
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
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
72y^3
72y
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.
The LCM will contain all factors including variables. Look at coefficients and find their LCM. Then IF several terms have a common factor with a differnt exponent, use that variable with the largest exponent. If a variable appears in only one term, it will still be part of the LCM with its exponent. EX Find LCM for 14s3 and 6 ---- ANSWER --- 42s3 Ex Find Lcm for 3x2y , 4y3, and 7x --- The LCM is 84x2y3 biggest exponents even if not in all terms.
72y^3
96a^4
You don't find an LCM with exponents. Exponents are just a shorter way to write it down after you find it. The LCM of 8 and 27 is 2 x 2 x 2 x 3 x 3 x 3. That can also be written as 23 x 33
1. Factor all possible parts 2. split the denominator 3. cross out 4. add like termms 5. simplify 6. done 7. math sucks
Choose the higher power. The LCM of x3 and x5 is x5
4(x-1)2(x2+6x+8) and 10(x-1)(x+2)(X2+7x+10)