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LCM of 130, 920, 708, 805, 484

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


Find the LCM of 130, 920, 708, 805, 484 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, 920, 708, 805, 484. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 130,920,708,805,484

Given numbers are 130,920,708,805,484

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

The LCM of 130,920,708,805,484 is 1793031240.

Find LCM of 130,920,708,805,484 with Prime Factorization


2 130, 920, 708, 805, 484
2 65, 460, 354, 805, 242
5 65, 230, 177, 805, 121
23 13, 46, 177, 161, 121
13, 2, 177, 7, 121

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

2 x 2 x 5 x 23 x 13 x 2 x 177 x 7 x 121 = 1793031240

Therefore, the lowest common multiple of 130,920,708,805,484 is 1793031240.

LCM Formula to Find Lowest Common Multiple of 130,920,708,805,484

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 920 x 708 x 805 x 484 = 32991774816000

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

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

805 : 1, 5, 7, 23, 35, 115, 161, 805

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 130,920,708,805,484, is 1.

Now, the common factors can be found like this.

130:2x 5x 13

920:2x 2x 2x 5x 23

708:2x 2x 3x 59

805:5x 7x 23

484:2x 2x 11x 11

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 5x 5x 23 = 18400

Therefore, the value for common factors is 18400.

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 = 32991774816000/(1x18400)

LCM = 32991774816000/18400

LCM = 1793031240

Thus, we can understand that the LCM of 130,920,708,805,484 is 1793031240.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 130, 920, 708, 805, 484

1. What is the LCM of 130, 920, 708, 805, 484?

Answer: LCM of 130, 920, 708, 805, 484 is 1793031240.

2. How to calculate the LCM of 130, 920, 708, 805, 484?

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, 920, 708, 805, 484.

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}.