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LCM of 931, 598, 939, 871, 697

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


Find the LCM of 931, 598, 939, 871, 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 931, 598, 939, 871, 697. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 931,598,939,871,697

Given numbers are 931,598,939,871,697

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

The LCM of 931,598,939,871,697 is 24413162282418.

Find LCM of 931,598,939,871,697 with Prime Factorization


13 931, 598, 939, 871, 697
931, 46, 939, 67, 697

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

13 x 931 x 46 x 939 x 67 x 697 = 24413162282418

Therefore, the lowest common multiple of 931,598,939,871,697 is 24413162282418.

LCM Formula to Find Lowest Common Multiple of 931,598,939,871,697

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.

931 x 598 x 939 x 871 x 697 = 317371109671434

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.

931 : 1, 7, 19, 49, 133, 931

598 : 1, 2, 13, 23, 26, 46, 299, 598

939 : 1, 3, 313, 939

871 : 1, 13, 67, 871

697 : 1, 17, 41, 697

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 931,598,939,871,697, is 1.

Now, the common factors can be found like this.

931:7x 7x 19

598:2x 13x 23

939:3x 313

871:13x 67

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.

13 = 13

Therefore, the value for common factors is 13.

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 = 317371109671434/(1x13)

LCM = 317371109671434/13

LCM = 24413162282418

Thus, we can understand that the LCM of 931,598,939,871,697 is 24413162282418.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 931, 598, 939, 871, 697

1. What is the LCM of 931, 598, 939, 871, 697?

Answer: LCM of 931, 598, 939, 871, 697 is 24413162282418.

2. How to calculate the LCM of 931, 598, 939, 871, 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 931, 598, 939, 871, 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}.