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LCM of 853, 551, 812, 671, 898

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


Find the LCM of 853, 551, 812, 671, 898 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 853, 551, 812, 671, 898. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 853,551,812,671,898

Given numbers are 853,551,812,671,898

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

The LCM of 853,551,812,671,898 is 3964856947436.

Find LCM of 853,551,812,671,898 with Prime Factorization


2 853, 551, 812, 671, 898
29 853, 551, 406, 671, 449
853, 19, 14, 671, 449

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

2 x 29 x 853 x 19 x 14 x 671 x 449 = 3964856947436

Therefore, the lowest common multiple of 853,551,812,671,898 is 3964856947436.

LCM Formula to Find Lowest Common Multiple of 853,551,812,671,898

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.

853 x 551 x 812 x 671 x 898 = 229961702951288

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.

853 : 1, 853

551 : 1, 19, 29, 551

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

671 : 1, 11, 61, 671

898 : 1, 2, 449, 898

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 853,551,812,671,898, is 1.

Now, the common factors can be found like this.

853:853

551:19x 29

812:2x 2x 7x 29

671:11x 61

898:2x 449

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

2x 29 = 58

Therefore, the value for common factors is 58.

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 = 229961702951288/(1x58)

LCM = 229961702951288/58

LCM = 3964856947436

Thus, we can understand that the LCM of 853,551,812,671,898 is 3964856947436.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 853, 551, 812, 671, 898

1. What is the LCM of 853, 551, 812, 671, 898?

Answer: LCM of 853, 551, 812, 671, 898 is 3964856947436.

2. How to calculate the LCM of 853, 551, 812, 671, 898?

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 853, 551, 812, 671, 898.

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}.