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LCM of 130, 104, 334, 147

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 130, 104, 334, 147 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 130, 104, 334, 147. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 130,104,334,147

Given numbers are 130,104,334,147

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 130,104,334,147 is 12765480.

Find LCM of 130,104,334,147 with Prime Factorization


2 130, 104, 334, 147
13 65, 52, 167, 147
5, 4, 167, 147

Multiply the prime numbers at the bottom and the left side.

2 x 13 x 5 x 4 x 167 x 147 = 12765480

Therefore, the lowest common multiple of 130,104,334,147 is 12765480.

LCM Formula to Find Lowest Common Multiple of 130,104,334,147

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

130 x 104 x 334 x 147 = 663804960

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

130 : 1, 2, 5, 10, 13, 26, 65, 130

104 : 1, 2, 4, 8, 13, 26, 52, 104

334 : 1, 2, 167, 334

147 : 1, 3, 7, 21, 49, 147

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 130,104,334,147, is 1.

Now, the common factors can be found like this.

130:2x 5x 13

104:2x 2x 2x 13

334:2x 167

147:3x 7x 7

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 13 = 52

Therefore, the value for common factors is 52.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 663804960/(1x52)

LCM = 663804960/52

LCM = 12765480

Thus, we can understand that the LCM of 130,104,334,147 is 12765480.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 130, 104, 334, 147

1. What is the LCM of 130, 104, 334, 147?

Answer: LCM of 130, 104, 334, 147 is 12765480.

2. How to calculate the LCM of 130, 104, 334, 147?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 130, 104, 334, 147.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.