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LCM of 517, 869, 446, 963

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


Find the LCM of 517, 869, 446, 963 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 517, 869, 446, 963. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 517,869,446,963

Given numbers are 517,869,446,963

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

The LCM of 517,869,446,963 is 17541986814.

Find LCM of 517,869,446,963 with Prime Factorization


11 517, 869, 446, 963
47, 79, 446, 963

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

11 x 47 x 79 x 446 x 963 = 17541986814

Therefore, the lowest common multiple of 517,869,446,963 is 17541986814.

LCM Formula to Find Lowest Common Multiple of 517,869,446,963

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.

517 x 869 x 446 x 963 = 192961854954

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.

517 : 1, 11, 47, 517

869 : 1, 11, 79, 869

446 : 1, 2, 223, 446

963 : 1, 3, 9, 107, 321, 963

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 517,869,446,963, is 1.

Now, the common factors can be found like this.

517:11x 47

869:11x 79

446:2x 223

963:3x 3x 107

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

11 = 11

Therefore, the value for common factors is 11.

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 = 192961854954/(1x11)

LCM = 192961854954/11

LCM = 17541986814

Thus, we can understand that the LCM of 517,869,446,963 is 17541986814.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 517, 869, 446, 963

1. What is the LCM of 517, 869, 446, 963?

Answer: LCM of 517, 869, 446, 963 is 17541986814.

2. How to calculate the LCM of 517, 869, 446, 963?

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 517, 869, 446, 963.

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}.