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LCM of 696, 542, 671, 864

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


Find the LCM of 696, 542, 671, 864 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 696, 542, 671, 864. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 696,542,671,864

Given numbers are 696,542,671,864

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

The LCM of 696,542,671,864 is 4556208096.

Find LCM of 696,542,671,864 with Prime Factorization


2 696, 542, 671, 864
2 348, 271, 671, 432
2 174, 271, 671, 216
3 87, 271, 671, 108
29, 271, 671, 36

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

2 x 2 x 2 x 3 x 29 x 271 x 671 x 36 = 4556208096

Therefore, the lowest common multiple of 696,542,671,864 is 4556208096.

LCM Formula to Find Lowest Common Multiple of 696,542,671,864

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.

696 x 542 x 671 x 864 = 218697988608

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.

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

542 : 1, 2, 271, 542

671 : 1, 11, 61, 671

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 696,542,671,864, is 1.

Now, the common factors can be found like this.

696:2x 2x 2x 3x 29

542:2x 271

671:11x 61

864:2x 2x 2x 2x 2x 3x 3x 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 3 = 48

Therefore, the value for common factors is 48.

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 = 218697988608/(1x48)

LCM = 218697988608/48

LCM = 4556208096

Thus, we can understand that the LCM of 696,542,671,864 is 4556208096.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 696, 542, 671, 864

1. What is the LCM of 696, 542, 671, 864?

Answer: LCM of 696, 542, 671, 864 is 4556208096.

2. How to calculate the LCM of 696, 542, 671, 864?

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 696, 542, 671, 864.

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}.