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LCM of 130, 539, 720, 945, 384

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


Find the LCM of 130, 539, 720, 945, 384 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, 539, 720, 945, 384. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 130,539,720,945,384

Given numbers are 130,539,720,945,384

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

The LCM of 130,539,720,945,384 is 121080960.

Find LCM of 130,539,720,945,384 with Prime Factorization


2 130, 539, 720, 945, 384
2 65, 539, 360, 945, 192
2 65, 539, 180, 945, 96
2 65, 539, 90, 945, 48
3 65, 539, 45, 945, 24
3 65, 539, 15, 315, 8
5 65, 539, 5, 105, 8
7 13, 539, 1, 21, 8
13, 77, 1, 3, 8

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

2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 13 x 77 x 1 x 3 x 8 = 121080960

Therefore, the lowest common multiple of 130,539,720,945,384 is 121080960.

LCM Formula to Find Lowest Common Multiple of 130,539,720,945,384

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 539 x 720 x 945 x 384 = 18307441152000

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

539 : 1, 7, 11, 49, 77, 539

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 130,539,720,945,384, is 1.

Now, the common factors can be found like this.

130:2x 5x 13

539:7x 7x 11

720:2x 2x 2x 2x 3x 3x 5

945:3x 3x 3x 5x 7

384:2x 2x 2x 2x 2x 2x 2x 3

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 2x 2x 2x 3x 3x 3x 5x 5x 7 = 151200

Therefore, the value for common factors is 151200.

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 = 18307441152000/(1x151200)

LCM = 18307441152000/151200

LCM = 121080960

Thus, we can understand that the LCM of 130,539,720,945,384 is 121080960.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 130, 539, 720, 945, 384

1. What is the LCM of 130, 539, 720, 945, 384?

Answer: LCM of 130, 539, 720, 945, 384 is 121080960.

2. How to calculate the LCM of 130, 539, 720, 945, 384?

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, 539, 720, 945, 384.

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}.