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LCM of 131, 696, 556, 920, 796

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


Find the LCM of 131, 696, 556, 920, 796 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 131, 696, 556, 920, 796. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 131,696,556,920,796

Given numbers are 131,696,556,920,796

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

The LCM of 131,696,556,920,796 is 290032223640.

Find LCM of 131,696,556,920,796 with Prime Factorization


2 131, 696, 556, 920, 796
2 131, 348, 278, 460, 398
2 131, 174, 139, 230, 199
131, 87, 139, 115, 199

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

2 x 2 x 2 x 131 x 87 x 139 x 115 x 199 = 290032223640

Therefore, the lowest common multiple of 131,696,556,920,796 is 290032223640.

LCM Formula to Find Lowest Common Multiple of 131,696,556,920,796

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.

131 x 696 x 556 x 920 x 796 = 37124124625920

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.

131 : 1, 131

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

556 : 1, 2, 4, 139, 278, 556

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

796 : 1, 2, 4, 199, 398, 796

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 131,696,556,920,796, is 1.

Now, the common factors can be found like this.

131:131

696:2x 2x 2x 3x 29

556:2x 2x 139

920:2x 2x 2x 5x 23

796:2x 2x 199

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 2x 2 = 128

Therefore, the value for common factors is 128.

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 = 37124124625920/(1x128)

LCM = 37124124625920/128

LCM = 290032223640

Thus, we can understand that the LCM of 131,696,556,920,796 is 290032223640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 131, 696, 556, 920, 796

1. What is the LCM of 131, 696, 556, 920, 796?

Answer: LCM of 131, 696, 556, 920, 796 is 290032223640.

2. How to calculate the LCM of 131, 696, 556, 920, 796?

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 131, 696, 556, 920, 796.

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}.