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LCM of 698, 416, 317, 518, 869

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


Find the LCM of 698, 416, 317, 518, 869 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 698, 416, 317, 518, 869. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 698,416,317,518,869

Given numbers are 698,416,317,518,869

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

The LCM of 698,416,317,518,869 is 10358516456288.

Find LCM of 698,416,317,518,869 with Prime Factorization


2 698, 416, 317, 518, 869
349, 208, 317, 259, 869

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

2 x 349 x 208 x 317 x 259 x 869 = 10358516456288

Therefore, the lowest common multiple of 698,416,317,518,869 is 10358516456288.

LCM Formula to Find Lowest Common Multiple of 698,416,317,518,869

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.

698 x 416 x 317 x 518 x 869 = 41434065825152

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.

698 : 1, 2, 349, 698

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

317 : 1, 317

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

869 : 1, 11, 79, 869

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 698,416,317,518,869, is 1.

Now, the common factors can be found like this.

698:2x 349

416:2x 2x 2x 2x 2x 13

317:317

518:2x 7x 37

869:11x 79

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 41434065825152/(1x4)

LCM = 41434065825152/4

LCM = 10358516456288

Thus, we can understand that the LCM of 698,416,317,518,869 is 10358516456288.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 698, 416, 317, 518, 869

1. What is the LCM of 698, 416, 317, 518, 869?

Answer: LCM of 698, 416, 317, 518, 869 is 10358516456288.

2. How to calculate the LCM of 698, 416, 317, 518, 869?

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 698, 416, 317, 518, 869.

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}.