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LCM of 817, 817, 518, 944, 610

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


Find the LCM of 817, 817, 518, 944, 610 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 817, 817, 518, 944, 610. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 817,817,518,944,610

Given numbers are 817,817,518,944,610

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

The LCM of 817,817,518,944,610 is 60924735760.

Find LCM of 817,817,518,944,610 with Prime Factorization


2 817, 817, 518, 944, 610
19 817, 817, 259, 472, 305
43 43, 43, 259, 472, 305
1, 1, 259, 472, 305

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

2 x 19 x 43 x 1 x 1 x 259 x 472 x 305 = 60924735760

Therefore, the lowest common multiple of 817,817,518,944,610 is 60924735760.

LCM Formula to Find Lowest Common Multiple of 817,817,518,944,610

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.

817 x 817 x 518 x 944 x 610 = 199102036463680

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.

817 : 1, 19, 43, 817

817 : 1, 19, 43, 817

518 : 1, 2, 7, 14, 37, 74, 259, 518

944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944

610 : 1, 2, 5, 10, 61, 122, 305, 610

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 817,817,518,944,610, is 1.

Now, the common factors can be found like this.

817:19x 43

817:19x 43

518:2x 7x 37

944:2x 2x 2x 2x 59

610:2x 5x 61

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

2x 2x 19x 43 = 3268

Therefore, the value for common factors is 3268.

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 = 199102036463680/(1x3268)

LCM = 199102036463680/3268

LCM = 60924735760

Thus, we can understand that the LCM of 817,817,518,944,610 is 60924735760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 817, 817, 518, 944, 610

1. What is the LCM of 817, 817, 518, 944, 610?

Answer: LCM of 817, 817, 518, 944, 610 is 60924735760.

2. How to calculate the LCM of 817, 817, 518, 944, 610?

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 817, 817, 518, 944, 610.

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}.