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LCM of 509, 961, 817, 104, 922

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


Find the LCM of 509, 961, 817, 104, 922 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 509, 961, 817, 104, 922. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 509,961,817,104,922

Given numbers are 509,961,817,104,922

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

The LCM of 509,961,817,104,922 is 19160087638952.

Find LCM of 509,961,817,104,922 with Prime Factorization


2 509, 961, 817, 104, 922
509, 961, 817, 52, 461

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

2 x 509 x 961 x 817 x 52 x 461 = 19160087638952

Therefore, the lowest common multiple of 509,961,817,104,922 is 19160087638952.

LCM Formula to Find Lowest Common Multiple of 509,961,817,104,922

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.

509 x 961 x 817 x 104 x 922 = 38320175277904

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.

509 : 1, 509

961 : 1, 31, 961

817 : 1, 19, 43, 817

104 : 1, 2, 4, 8, 13, 26, 52, 104

922 : 1, 2, 461, 922

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 509,961,817,104,922, is 1.

Now, the common factors can be found like this.

509:509

961:31x 31

817:19x 43

104:2x 2x 2x 13

922:2x 461

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

2 = 2

Therefore, the value for common factors is 2.

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 = 38320175277904/(1x2)

LCM = 38320175277904/2

LCM = 19160087638952

Thus, we can understand that the LCM of 509,961,817,104,922 is 19160087638952.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 509, 961, 817, 104, 922

1. What is the LCM of 509, 961, 817, 104, 922?

Answer: LCM of 509, 961, 817, 104, 922 is 19160087638952.

2. How to calculate the LCM of 509, 961, 817, 104, 922?

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 509, 961, 817, 104, 922.

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}.