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LCM of 854, 869, 869, 517

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


Find the LCM of 854, 869, 869, 517 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 854, 869, 869, 517. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 854,869,869,517

Given numbers are 854,869,869,517

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

The LCM of 854,869,869,517 is 34879922.

Find LCM of 854,869,869,517 with Prime Factorization


11 854, 869, 869, 517
79 854, 79, 79, 47
854, 1, 1, 47

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

11 x 79 x 854 x 1 x 1 x 47 = 34879922

Therefore, the lowest common multiple of 854,869,869,517 is 34879922.

LCM Formula to Find Lowest Common Multiple of 854,869,869,517

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.

854 x 869 x 869 x 517 = 333417174398

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.

854 : 1, 2, 7, 14, 61, 122, 427, 854

869 : 1, 11, 79, 869

869 : 1, 11, 79, 869

517 : 1, 11, 47, 517

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 854,869,869,517, is 1.

Now, the common factors can be found like this.

854:2x 7x 61

869:11x 79

869:11x 79

517:11x 47

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

11x 11x 79 = 9559

Therefore, the value for common factors is 9559.

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 = 333417174398/(1x9559)

LCM = 333417174398/9559

LCM = 34879922

Thus, we can understand that the LCM of 854,869,869,517 is 34879922.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 854, 869, 869, 517

1. What is the LCM of 854, 869, 869, 517?

Answer: LCM of 854, 869, 869, 517 is 34879922.

2. How to calculate the LCM of 854, 869, 869, 517?

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 854, 869, 869, 517.

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}.