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LCM of 115, 559, 516, 702, 632

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


Find the LCM of 115, 559, 516, 702, 632 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 115, 559, 516, 702, 632. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 115,559,516,702,632

Given numbers are 115,559,516,702,632

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

The LCM of 115,559,516,702,632 is 1096959240.

Find LCM of 115,559,516,702,632 with Prime Factorization


2 115, 559, 516, 702, 632
2 115, 559, 258, 351, 316
3 115, 559, 129, 351, 158
13 115, 559, 43, 117, 158
43 115, 43, 43, 9, 158
115, 1, 1, 9, 158

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

2 x 2 x 3 x 13 x 43 x 115 x 1 x 1 x 9 x 158 = 1096959240

Therefore, the lowest common multiple of 115,559,516,702,632 is 1096959240.

LCM Formula to Find Lowest Common Multiple of 115,559,516,702,632

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.

115 x 559 x 516 x 702 x 632 = 14716805163840

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.

115 : 1, 5, 23, 115

559 : 1, 13, 43, 559

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

632 : 1, 2, 4, 8, 79, 158, 316, 632

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 115,559,516,702,632, is 1.

Now, the common factors can be found like this.

115:5x 23

559:13x 43

516:2x 2x 3x 43

702:2x 3x 3x 3x 13

632:2x 2x 2x 79

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 3x 13x 43 = 13416

Therefore, the value for common factors is 13416.

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 = 14716805163840/(1x13416)

LCM = 14716805163840/13416

LCM = 1096959240

Thus, we can understand that the LCM of 115,559,516,702,632 is 1096959240.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 115, 559, 516, 702, 632

1. What is the LCM of 115, 559, 516, 702, 632?

Answer: LCM of 115, 559, 516, 702, 632 is 1096959240.

2. How to calculate the LCM of 115, 559, 516, 702, 632?

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 115, 559, 516, 702, 632.

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}.