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LCM of 309, 939, 425, 509, 931

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


Find the LCM of 309, 939, 425, 509, 931 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 309, 939, 425, 509, 931. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 309,939,425,509,931

Given numbers are 309,939,425,509,931

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

The LCM of 309,939,425,509,931 is 19478665978275.

Find LCM of 309,939,425,509,931 with Prime Factorization


3 309, 939, 425, 509, 931
103, 313, 425, 509, 931

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

3 x 103 x 313 x 425 x 509 x 931 = 19478665978275

Therefore, the lowest common multiple of 309,939,425,509,931 is 19478665978275.

LCM Formula to Find Lowest Common Multiple of 309,939,425,509,931

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.

309 x 939 x 425 x 509 x 931 = 58435997934825

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.

309 : 1, 3, 103, 309

939 : 1, 3, 313, 939

425 : 1, 5, 17, 25, 85, 425

509 : 1, 509

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,939,425,509,931, is 1.

Now, the common factors can be found like this.

309:3x 103

939:3x 313

425:5x 5x 17

509:509

931:7x 7x 19

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

3 = 3

Therefore, the value for common factors is 3.

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 = 58435997934825/(1x3)

LCM = 58435997934825/3

LCM = 19478665978275

Thus, we can understand that the LCM of 309,939,425,509,931 is 19478665978275.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 309, 939, 425, 509, 931

1. What is the LCM of 309, 939, 425, 509, 931?

Answer: LCM of 309, 939, 425, 509, 931 is 19478665978275.

2. How to calculate the LCM of 309, 939, 425, 509, 931?

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 309, 939, 425, 509, 931.

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}.