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LCM of 725, 854, 791, 693, 678

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


Find the LCM of 725, 854, 791, 693, 678 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 725, 854, 791, 693, 678. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 725,854,791,693,678

Given numbers are 725,854,791,693,678

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

The LCM of 725,854,791,693,678 is 6926431050.

Find LCM of 725,854,791,693,678 with Prime Factorization


2 725, 854, 791, 693, 678
3 725, 427, 791, 693, 339
7 725, 427, 791, 231, 113
113 725, 61, 113, 33, 113
725, 61, 1, 33, 1

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

2 x 3 x 7 x 113 x 725 x 61 x 1 x 33 x 1 = 6926431050

Therefore, the lowest common multiple of 725,854,791,693,678 is 6926431050.

LCM Formula to Find Lowest Common Multiple of 725,854,791,693,678

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.

725 x 854 x 791 x 693 x 678 = 230109892343100

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.

725 : 1, 5, 25, 29, 145, 725

854 : 1, 2, 7, 14, 61, 122, 427, 854

791 : 1, 7, 113, 791

693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

678 : 1, 2, 3, 6, 113, 226, 339, 678

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 725,854,791,693,678, is 1.

Now, the common factors can be found like this.

725:5x 5x 29

854:2x 7x 61

791:7x 113

693:3x 3x 7x 11

678:2x 3x 113

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 7x 7x 113 = 33222

Therefore, the value for common factors is 33222.

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 = 230109892343100/(1x33222)

LCM = 230109892343100/33222

LCM = 6926431050

Thus, we can understand that the LCM of 725,854,791,693,678 is 6926431050.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 725, 854, 791, 693, 678

1. What is the LCM of 725, 854, 791, 693, 678?

Answer: LCM of 725, 854, 791, 693, 678 is 6926431050.

2. How to calculate the LCM of 725, 854, 791, 693, 678?

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 725, 854, 791, 693, 678.

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}.