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LCM of 808, 101, 923, 799, 505

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


Find the LCM of 808, 101, 923, 799, 505 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 808, 101, 923, 799, 505. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 808,101,923,799,505

Given numbers are 808,101,923,799,505

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

The LCM of 808,101,923,799,505 is 2979407080.

Find LCM of 808,101,923,799,505 with Prime Factorization


101 808, 101, 923, 799, 505
8, 1, 923, 799, 5

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

101 x 8 x 1 x 923 x 799 x 5 = 2979407080

Therefore, the lowest common multiple of 808,101,923,799,505 is 2979407080.

LCM Formula to Find Lowest Common Multiple of 808,101,923,799,505

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.

808 x 101 x 923 x 799 x 505 = 30392931623080

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.

808 : 1, 2, 4, 8, 101, 202, 404, 808

101 : 1, 101

923 : 1, 13, 71, 923

799 : 1, 17, 47, 799

505 : 1, 5, 101, 505

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 808,101,923,799,505, is 1.

Now, the common factors can be found like this.

808:2x 2x 2x 101

101:101

923:13x 71

799:17x 47

505:5x 101

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

101x 101 = 10201

Therefore, the value for common factors is 10201.

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 = 30392931623080/(1x10201)

LCM = 30392931623080/10201

LCM = 2979407080

Thus, we can understand that the LCM of 808,101,923,799,505 is 2979407080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 808, 101, 923, 799, 505

1. What is the LCM of 808, 101, 923, 799, 505?

Answer: LCM of 808, 101, 923, 799, 505 is 2979407080.

2. How to calculate the LCM of 808, 101, 923, 799, 505?

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 808, 101, 923, 799, 505.

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}.