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Two different problems: A factor tree is a way to notate the process of finding the prime factorization of a given number. Once you have the prime factorizations of at least two numbers, you can combine them and find the LCM.

All composite numbers can be expressed as unique products of prime numbers. This is accomplished by dividing the original number and its factors by prime numbers until all the factors are prime. A factor tree can help you visualize this.

Example: 210

210 Divide by two.

105,2 Divide by three.

35,3,2 Divide by five.

7,5,3,2 Stop. All the factors are prime.

2 x 3 x 5 x 7 = 210

That's the prime factorization of 210.

Example: 30 and 42

Factor them.

2 x 3 x 5 = 30

2 x 3 x 7 = 42

Select the highest amount of each factor.

2 x 3 x 5 x 7 = 210, the LCM

Q: What is the LCM using the factor tree?

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28 14,2 7,2,2 35 5,7 2 x 2 x 5 x 7 = 140, the LCM

They are: 5*5*7 = 175

LCM(24, 60, 72) = 360.A common factor is 2.

The GCF is the factor, the LCM is the other one.

3 is a prime number. Prime numbers don't have factor trees. The factors of 3 are 1 and 3.

Related questions

That's a lot of extra work for this problem but here goes. 3 is already prime so it doesn't really have a factor tree or prime factorization. The prime factorization of 4 is 2 x 2 which looks like this in a factor tree.42,23 and 4 have no common prime factors, so the LCM is their product, 12

you have to use a factor tree

16080,240,2,220,2,2,2102,2,2,25,2,2,2,2,2You need another number to compare this one with to find a GCF or an LCM.

1,3,5,15,25,75

655 5,131

The factor tree finds the prime factorization. The prime factorization finds the LCM. Example: 30 and 42 Factor them. 30 15,2 5,3,2 42 21,2 7,3,2 2 x 3 x 5 = 30 2 x 3 x 7 = 42 Select the highest amount of each factor. 2 x 3 x 5 x 7 = 210, the LCM

The prime factorization.

32=2x16=2x2x8=2x2x2x4=2x2x2x2x2 45=3x15=3x3x5 LCM=(2x2x2x2x2)x(3x3x5) =1440

28 14,2 7,2,2 35 5,7 2 x 2 x 5 x 7 = 140, the LCM

Since 360 is a multiple of 120, it is automatically the LCM.

4

It is the pie