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LCM of 725, 884, 493, 697, 697

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


Find the LCM of 725, 884, 493, 697, 697 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, 884, 493, 697, 697. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 725,884,493,697,697

Given numbers are 725,884,493,697,697

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

The LCM of 725,884,493,697,697 is 26276900.

Find LCM of 725,884,493,697,697 with Prime Factorization


17 725, 884, 493, 697, 697
29 725, 52, 29, 41, 41
41 25, 52, 1, 41, 41
25, 52, 1, 1, 1

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

17 x 29 x 41 x 25 x 52 x 1 x 1 x 1 = 26276900

Therefore, the lowest common multiple of 725,884,493,697,697 is 26276900.

LCM Formula to Find Lowest Common Multiple of 725,884,493,697,697

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 884 x 493 x 697 x 697 = 153498009133300

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

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

493 : 1, 17, 29, 493

697 : 1, 17, 41, 697

697 : 1, 17, 41, 697

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 725,884,493,697,697, is 1.

Now, the common factors can be found like this.

725:5x 5x 29

884:2x 2x 13x 17

493:17x 29

697:17x 41

697:17x 41

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

17x 17x 17x 29x 41 = 5841557

Therefore, the value for common factors is 5841557.

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 = 153498009133300/(1x5841557)

LCM = 153498009133300/5841557

LCM = 26276900

Thus, we can understand that the LCM of 725,884,493,697,697 is 26276900.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 725, 884, 493, 697, 697

1. What is the LCM of 725, 884, 493, 697, 697?

Answer: LCM of 725, 884, 493, 697, 697 is 26276900.

2. How to calculate the LCM of 725, 884, 493, 697, 697?

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, 884, 493, 697, 697.

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}.