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LCM of 923, 813, 494, 233

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


Find the LCM of 923, 813, 494, 233 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 923, 813, 494, 233. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 923,813,494,233

Given numbers are 923,813,494,233

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

The LCM of 923,813,494,233 is 6644032746.

Find LCM of 923,813,494,233 with Prime Factorization


13 923, 813, 494, 233
71, 813, 38, 233

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

13 x 71 x 813 x 38 x 233 = 6644032746

Therefore, the lowest common multiple of 923,813,494,233 is 6644032746.

LCM Formula to Find Lowest Common Multiple of 923,813,494,233

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.

923 x 813 x 494 x 233 = 86372425698

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.

923 : 1, 13, 71, 923

813 : 1, 3, 271, 813

494 : 1, 2, 13, 19, 26, 38, 247, 494

233 : 1, 233

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 923,813,494,233, is 1.

Now, the common factors can be found like this.

923:13x 71

813:3x 271

494:2x 13x 19

233:233

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

13 = 13

Therefore, the value for common factors is 13.

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 = 86372425698/(1x13)

LCM = 86372425698/13

LCM = 6644032746

Thus, we can understand that the LCM of 923,813,494,233 is 6644032746.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 923, 813, 494, 233

1. What is the LCM of 923, 813, 494, 233?

Answer: LCM of 923, 813, 494, 233 is 6644032746.

2. How to calculate the LCM of 923, 813, 494, 233?

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 923, 813, 494, 233.

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}.