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LCM of 491, 514, 813, 804

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


Find the LCM of 491, 514, 813, 804 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 491, 514, 813, 804. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 491,514,813,804

Given numbers are 491,514,813,804

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

The LCM of 491,514,813,804 is 27494128308.

Find LCM of 491,514,813,804 with Prime Factorization


2 491, 514, 813, 804
3 491, 257, 813, 402
491, 257, 271, 134

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

2 x 3 x 491 x 257 x 271 x 134 = 27494128308

Therefore, the lowest common multiple of 491,514,813,804 is 27494128308.

LCM Formula to Find Lowest Common Multiple of 491,514,813,804

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.

491 x 514 x 813 x 804 = 164964769848

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.

491 : 1, 491

514 : 1, 2, 257, 514

813 : 1, 3, 271, 813

804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 491,514,813,804, is 1.

Now, the common factors can be found like this.

491:491

514:2x 257

813:3x 271

804:2x 2x 3x 67

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 164964769848/(1x6)

LCM = 164964769848/6

LCM = 27494128308

Thus, we can understand that the LCM of 491,514,813,804 is 27494128308.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 491, 514, 813, 804

1. What is the LCM of 491, 514, 813, 804?

Answer: LCM of 491, 514, 813, 804 is 27494128308.

2. How to calculate the LCM of 491, 514, 813, 804?

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 491, 514, 813, 804.

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}.