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LCM of 531, 813, 507, 652

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


Find the LCM of 531, 813, 507, 652 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 531, 813, 507, 652. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 531,813,507,652

Given numbers are 531,813,507,652

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

The LCM of 531,813,507,652 is 15856163388.

Find LCM of 531,813,507,652 with Prime Factorization


3 531, 813, 507, 652
177, 271, 169, 652

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

3 x 177 x 271 x 169 x 652 = 15856163388

Therefore, the lowest common multiple of 531,813,507,652 is 15856163388.

LCM Formula to Find Lowest Common Multiple of 531,813,507,652

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.

531 x 813 x 507 x 652 = 142705470492

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.

531 : 1, 3, 9, 59, 177, 531

813 : 1, 3, 271, 813

507 : 1, 3, 13, 39, 169, 507

652 : 1, 2, 4, 163, 326, 652

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 531,813,507,652, is 1.

Now, the common factors can be found like this.

531:3x 3x 59

813:3x 271

507:3x 13x 13

652:2x 2x 163

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

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 142705470492/(1x9)

LCM = 142705470492/9

LCM = 15856163388

Thus, we can understand that the LCM of 531,813,507,652 is 15856163388.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 531, 813, 507, 652

1. What is the LCM of 531, 813, 507, 652?

Answer: LCM of 531, 813, 507, 652 is 15856163388.

2. How to calculate the LCM of 531, 813, 507, 652?

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 531, 813, 507, 652.

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}.