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Wrile each fraction in lcrs of thc LCM of thc denominalors:Find the LCM of 6xy and Jw+6ry...

Question

Wrile each fraction in lcrs of thc LCM of thc denominalors:Find the LCM of 6xy and Jw+6ry

Wrile each fraction in lcrs of thc LCM of thc denominalors: Find the LCM of 6xy and Jw+6ry



Answers

Find the LCM of each set of polynomials.
$$
36 x^{2} y, 20 x y z
$$

We're gonna find the l C M. Of these Polly. No meals. So we have 36 x squared. Why? And we have 20 x y z. So, first, we're gonna break our numbers into their prime factors. So 36 we have six times six six is two and three and two and three. So we have two twos and two threes. We haven't X squared. And why? And then for 20 we have four or five and two and two. So we have two twos and 15 and one x y z. So we take the biggest of each of the factors. So we have two twos. We have three twos. We have to. At exes, we have 15 one. Why? In one seat and we multiply those altogether. So I have to to times three squared times five to the one x squared. Why? And see? So I multiply these I have four times nine times five, four times, nine times five is 1 80 x squared one. Why? And one C. And this is their Elsie. Um

We're gonna find the l C M. Of these Polly. No meals. So we have 36 x squared. Why? And we have 20 x y z. So, first, we're gonna break our numbers into their prime factors. So 36 we have six times six six is two and three and two and three. So we have two twos and two threes. We haven't X squared. And why? And then for 20 we have four or five and two and two. So we have two twos and 15 and one x y z. So we take the biggest of each of the factors. So we have two twos. We have three twos. We have to. At exes, we have 15 one. Why? In one seat and we multiply those altogether. So I have to to times three squared times five to the one x squared. Why? And see? So I multiply these I have four times nine times five, four times, nine times five is 1 80 x squared one. Why? And one C. And this is their Elsie. Um

We're gonna find the l C M. Of these pollen on polynomial is so extreme. Minus west. Great. And then three X plus three. What? So we're gonna factor out while we can? So x squared minus y squared is the same as saying X minus y times X plus y and then three x plus three. Why we can factor out of three. So that's saying three x plus y. So what we have is we have one of these one of these three and one of these. So we're gonna multiply each of what we have, so we'll have 13 There's only one x minus y and the highest factor of X plus y is one experts wife. So this is our l c m of these two polynomial sze.

Okay, so we want to find RLC. Um, so what's that? By prime factoring each time. So we have eight. That's two to the power of three and 32. That's two to power five, I think. Let me double Jack and then we have 50. That's five times 10 and in 10 is five times to sort of boxes are two times two. So Rlc M, the highest power of two is five and in the highest part of five, it's to sorrow. Siem is 2 to 4 or five times five to part two, which is 800.


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