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LCM of 581, 402, 813, 761

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


Find the LCM of 581, 402, 813, 761 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 581, 402, 813, 761. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 581,402,813,761

Given numbers are 581,402,813,761

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

The LCM of 581,402,813,761 is 48167724822.

Find LCM of 581,402,813,761 with Prime Factorization


3 581, 402, 813, 761
581, 134, 271, 761

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

3 x 581 x 134 x 271 x 761 = 48167724822

Therefore, the lowest common multiple of 581,402,813,761 is 48167724822.

LCM Formula to Find Lowest Common Multiple of 581,402,813,761

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.

581 x 402 x 813 x 761 = 144503174466

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.

581 : 1, 7, 83, 581

402 : 1, 2, 3, 6, 67, 134, 201, 402

813 : 1, 3, 271, 813

761 : 1, 761

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 581,402,813,761, is 1.

Now, the common factors can be found like this.

581:7x 83

402:2x 3x 67

813:3x 271

761:761

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 = 144503174466/(1x3)

LCM = 144503174466/3

LCM = 48167724822

Thus, we can understand that the LCM of 581,402,813,761 is 48167724822.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 581, 402, 813, 761

1. What is the LCM of 581, 402, 813, 761?

Answer: LCM of 581, 402, 813, 761 is 48167724822.

2. How to calculate the LCM of 581, 402, 813, 761?

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 581, 402, 813, 761.

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}.