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To find the GCF of 9x^2y and 39xy^3 first look at the GCF of 9 and 39 with is 3 Now the GCF of x^2 and x is x and the GCF of y^3 and y is y so the GCF of the 9x^2y and 39xy^3 is 3xy Use a similar idea to find the LCM. The LCM of x^2 and x is x^2 and the LCM of y^3 and y is y^3, lastly, the LCM of 9 and 39 is 117 so the LCM is 117x^2y^3
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What is the GCF and LCM of 9xsquared y and 36xycubed?
The GCF is 9xyThe LCM is 36x2y3
What is the LCM of Y and Y?
The LCM and the GCF of Y and Y is the absolute value of Y.
How do you find the LCM and GCF of two prime numbers?
The GCF of any two prime numbers is 1 and the LCM is their product.
Which two numbers will have a greater greatest common factor than the least common multiple?
There cannot be any such numbers. Suppose you have the numbers X and Y, and without loss of generality, assume that X ≤ Y. Then GCF(X, Y) is a factor of X and of Y. Therefore, GCF ≤ X which is ≤ Y also LCM(X, Y) is a multiple of X and of Y. Therefore, LCM ≥ Y which is ≥ X Combining the inequalities gives GCF ≤ X ≤ Y ≤ LCM and so GCF ≤ LCM. That is, the GCF cannot possibly be greater than LCM.
What is the least common multiple of nine and W?
If they have no prime factors in common, the LCM of w and y is their product.
Lcm and GCF in c plus plus?
#include<iostream.h> void main() { int x,y,r,a,b; cout<<"enter the two numbers"; cin>>x>>y; a=x; b=y; while(x%y!=0) { r=x%y; x=y; y=r; } cout<<"GCF="<<y<<"\n"; cout<<"LCM="<<a*b/y; }
Can you find the least common multiple of two prime numbers?
Yes. For two prime numbers, the LCM is their product: one times the other. Multiply the two. (e.g. LCM of 5 and 7 is 35) By formula, the LCM for x and y is LCM = x * y / GCF and for primes, the GCF (greatest common factor) is 1.
How do you find the GCF and LCM of numbers with variables?
GCF is found by looking for common factors, real numbers or variables.Find GCF for 14x2y3z and 21 xy4factor 14x2y3z = 2.7 x x y y y zfactor 21 xy4 = 3.7 x y y y ycommon factors 7, x, y, y, y 3 y's in each but only 1 x , don't use z it is not in both terms ( it is not a common factor)multiply to get GCF 7xy3LCM is similar in that you start by factoring, but then you must use all from each, with no repeatsFind LCM for 14x2y3z and 21 xy4factor 14x2y3 = 2.7 x x y y y zfactor 21 xy4 = 3.7 x y y y yfactors 2, 7, x , x , y, y, y, z, 3, y now multiply all theseso LCM = 2.7 x x y y y z . 3 y = 42x2y4zthis can give us a few rulesthe LCM is greater than (or equal to) the original termsbut the GCF is ledss than.Sounds backwards, but a factor is only one part, and even the greatest part is less than the whole.Also For LCM we use each variable with the LARGEST exponent.for the GCF we use only common variables, and use the SMALLEST exponent.All factors are NOT necessarily in the GCF ( notice 2, 3, and z above)But all factors are in the LCM
What is the GCF and LCM of 18x and 9y?
GCF = 9To find the LCM, find the prime factorization of each number9y = 3 * 3 * y18x = 2 * 3 * 3 * xLCM = 2 * 3 * 3 * x * y = 18xy
The LCM of the two numbers is 48 If you divide the sum of the numbers by their GCF the result is 5 The average of the two numbers is 20?
Let the two numbers be x and y. Let suppose that the average of two numbers is 20. Then,x + y = 40 and 40/GCF = 5, where GCF = 40/5 = 8Since LCM is 48 and GCF is 8, the numbers are 16 and 24, whose average is 20 is true.
What is the what is the LCM of Y Y and Y?
It is: x times y or as xy
What is the greatest common factor of Y to Y?
The GCF is 2xy.
