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LCM of 808, 493, 493, 129

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


Find the LCM of 808, 493, 493, 129 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, 493, 493, 129. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 808,493,493,129

Given numbers are 808,493,493,129

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

The LCM of 808,493,493,129 is 51386376.

Find LCM of 808,493,493,129 with Prime Factorization


17 808, 493, 493, 129
29 808, 29, 29, 129
808, 1, 1, 129

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

17 x 29 x 808 x 1 x 1 x 129 = 51386376

Therefore, the lowest common multiple of 808,493,493,129 is 51386376.

LCM Formula to Find Lowest Common Multiple of 808,493,493,129

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 493 x 493 x 129 = 25333483368

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

493 : 1, 17, 29, 493

493 : 1, 17, 29, 493

129 : 1, 3, 43, 129

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 808,493,493,129, is 1.

Now, the common factors can be found like this.

808:2x 2x 2x 101

493:17x 29

493:17x 29

129:3x 43

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

17x 29 = 493

Therefore, the value for common factors is 493.

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 = 25333483368/(1x493)

LCM = 25333483368/493

LCM = 51386376

Thus, we can understand that the LCM of 808,493,493,129 is 51386376.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 808, 493, 493, 129

1. What is the LCM of 808, 493, 493, 129?

Answer: LCM of 808, 493, 493, 129 is 51386376.

2. How to calculate the LCM of 808, 493, 493, 129?

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, 493, 493, 129.

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}.