Find the LCM of x, xy and yz
To find the least common multiple (LCM) of x, xy, and yz, we need to determine the highest power of each prime factor that appears in any of the numbers.
The prime factorization of x is x.
The prime factorization of xy is x * y.
The prime factorization of yz is y * z.
Combining all these prime factorizations, we have:
x * x * y * y * z
To find the LCM, we take the highest power of each prime factor that appears:
LCM = x^2 * y^2 * z
Therefore, LCM of x, xy, and yz is x^2 * y^2 * z.
To find the least common multiple (LCM) of x, xy, and yz, we need to factorize each term into its prime factors.
x = x
xy = x * y
yz = y * z
Now we can find the LCM by finding the highest power of each prime factor that appears in any of the terms.
The prime factors of x are x (since x is a variable).
The prime factors of y are y (since y is a variable).
The prime factors of z are z (since z is a variable).
So the LCM of x, xy, and yz is x * y * z.
Therefore, the LCM of x, xy, and yz is xyz.