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LCM of 725, 871, 698, 871

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


Find the LCM of 725, 871, 698, 871 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, 871, 698, 871. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 725,871,698,871

Given numbers are 725,871,698,871

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

The LCM of 725,871,698,871 is 440769550.

Find LCM of 725,871,698,871 with Prime Factorization


13 725, 871, 698, 871
67 725, 67, 698, 67
725, 1, 698, 1

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

13 x 67 x 725 x 1 x 698 x 1 = 440769550

Therefore, the lowest common multiple of 725,871,698,871 is 440769550.

LCM Formula to Find Lowest Common Multiple of 725,871,698,871

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 871 x 698 x 871 = 383910278050

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

871 : 1, 13, 67, 871

698 : 1, 2, 349, 698

871 : 1, 13, 67, 871

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 725,871,698,871, is 1.

Now, the common factors can be found like this.

725:5x 5x 29

871:13x 67

698:2x 349

871:13x 67

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

13x 67 = 871

Therefore, the value for common factors is 871.

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 = 383910278050/(1x871)

LCM = 383910278050/871

LCM = 440769550

Thus, we can understand that the LCM of 725,871,698,871 is 440769550.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 725, 871, 698, 871

1. What is the LCM of 725, 871, 698, 871?

Answer: LCM of 725, 871, 698, 871 is 440769550.

2. How to calculate the LCM of 725, 871, 698, 871?

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, 871, 698, 871.

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}.