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LCM of 814, 325, 482, 813

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


Find the LCM of 814, 325, 482, 813 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 814, 325, 482, 813. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 814,325,482,813

Given numbers are 814,325,482,813

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

The LCM of 814,325,482,813 is 51834075150.

Find LCM of 814,325,482,813 with Prime Factorization


2 814, 325, 482, 813
407, 325, 241, 813

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

2 x 407 x 325 x 241 x 813 = 51834075150

Therefore, the lowest common multiple of 814,325,482,813 is 51834075150.

LCM Formula to Find Lowest Common Multiple of 814,325,482,813

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.

814 x 325 x 482 x 813 = 103668150300

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.

814 : 1, 2, 11, 22, 37, 74, 407, 814

325 : 1, 5, 13, 25, 65, 325

482 : 1, 2, 241, 482

813 : 1, 3, 271, 813

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,325,482,813, is 1.

Now, the common factors can be found like this.

814:2x 11x 37

325:5x 5x 13

482:2x 241

813:3x 271

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

2 = 2

Therefore, the value for common factors is 2.

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 = 103668150300/(1x2)

LCM = 103668150300/2

LCM = 51834075150

Thus, we can understand that the LCM of 814,325,482,813 is 51834075150.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 814, 325, 482, 813

1. What is the LCM of 814, 325, 482, 813?

Answer: LCM of 814, 325, 482, 813 is 51834075150.

2. How to calculate the LCM of 814, 325, 482, 813?

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 814, 325, 482, 813.

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}.