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LCM of 642, 923, 268, 581

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


Find the LCM of 642, 923, 268, 581 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 642, 923, 268, 581. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 642,923,268,581

Given numbers are 642,923,268,581

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

The LCM of 642,923,268,581 is 46133633364.

Find LCM of 642,923,268,581 with Prime Factorization


2 642, 923, 268, 581
321, 923, 134, 581

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

2 x 321 x 923 x 134 x 581 = 46133633364

Therefore, the lowest common multiple of 642,923,268,581 is 46133633364.

LCM Formula to Find Lowest Common Multiple of 642,923,268,581

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.

642 x 923 x 268 x 581 = 92267266728

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.

642 : 1, 2, 3, 6, 107, 214, 321, 642

923 : 1, 13, 71, 923

268 : 1, 2, 4, 67, 134, 268

581 : 1, 7, 83, 581

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,923,268,581, is 1.

Now, the common factors can be found like this.

642:2x 3x 107

923:13x 71

268:2x 2x 67

581:7x 83

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 = 92267266728/(1x2)

LCM = 92267266728/2

LCM = 46133633364

Thus, we can understand that the LCM of 642,923,268,581 is 46133633364.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 642, 923, 268, 581

1. What is the LCM of 642, 923, 268, 581?

Answer: LCM of 642, 923, 268, 581 is 46133633364.

2. How to calculate the LCM of 642, 923, 268, 581?

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 642, 923, 268, 581.

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}.