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Tom Carson

4 Edition

Chapter 5, Problem 15

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Find the LCM using prime factorization.180 and 200

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Official textbook answer

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00:49

Find the prime factorization of each number.

$$180$$

02:25

Find the LCM using prime factorization.

$28,32,$ and 60

01:33

Find the LCM using prime factorization.

210 and 420

03:14

Find the GCF using prime factorization.

240 and 150

02:00

Find the LCM using prime factorization.

$42,56,$ and 80

01:20

In the following exercises, find the prime factorization of each number using any method.

$$

180

$$

00:44

Find the LCM by listing.

20 and 30

Transcript

we’re being asked to find the least common multiple between 182 100. I’m going to do a factor tree to help us. So start with 180. Well, I know that 10 times 18 is 180 and I know that two times five is 10. And both of these factors AirProd Now for 18 I have three times six or three is prime and six is three times to we’re three into our prime. So the rewrite 180 as a product of its primes would be two times two times, three times three times five. Let’s do the same thing for 200. Well, 10 times 20 is 200 and we could rewrite 10 as two times five were. Both of those are prime. Now, for 20 we can have five times for where five is prime. And for four. That’s to times to where to strike so we can write 200 as a product of his primes. And that would be two times two times, two times five times five. So now we’re gonna find the prime factory ization…