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LCM of 583, 323, 779, 925, 972

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


Find the LCM of 583, 323, 779, 925, 972 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 583, 323, 779, 925, 972. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 583,323,779,925,972

Given numbers are 583,323,779,925,972

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

The LCM of 583,323,779,925,972 is 6941653497900.

Find LCM of 583,323,779,925,972 with Prime Factorization


19 583, 323, 779, 925, 972
583, 17, 41, 925, 972

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

19 x 583 x 17 x 41 x 925 x 972 = 6941653497900

Therefore, the lowest common multiple of 583,323,779,925,972 is 6941653497900.

LCM Formula to Find Lowest Common Multiple of 583,323,779,925,972

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.

583 x 323 x 779 x 925 x 972 = 131891416460100

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.

583 : 1, 11, 53, 583

323 : 1, 17, 19, 323

779 : 1, 19, 41, 779

925 : 1, 5, 25, 37, 185, 925

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 583,323,779,925,972, is 1.

Now, the common factors can be found like this.

583:11x 53

323:17x 19

779:19x 41

925:5x 5x 37

972:2x 2x 3x 3x 3x 3x 3

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

19 = 19

Therefore, the value for common factors is 19.

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 = 131891416460100/(1x19)

LCM = 131891416460100/19

LCM = 6941653497900

Thus, we can understand that the LCM of 583,323,779,925,972 is 6941653497900.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 583, 323, 779, 925, 972

1. What is the LCM of 583, 323, 779, 925, 972?

Answer: LCM of 583, 323, 779, 925, 972 is 6941653497900.

2. How to calculate the LCM of 583, 323, 779, 925, 972?

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 583, 323, 779, 925, 972.

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}.