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LCM of 818, 697, 910, 406

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


Find the LCM of 818, 697, 910, 406 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 818, 697, 910, 406. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 818,697,910,406

Given numbers are 818,697,910,406

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

The LCM of 818,697,910,406 is 7523076470.

Find LCM of 818,697,910,406 with Prime Factorization


2 818, 697, 910, 406
7 409, 697, 455, 203
409, 697, 65, 29

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

2 x 7 x 409 x 697 x 65 x 29 = 7523076470

Therefore, the lowest common multiple of 818,697,910,406 is 7523076470.

LCM Formula to Find Lowest Common Multiple of 818,697,910,406

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.

818 x 697 x 910 x 406 = 210646141160

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.

818 : 1, 2, 409, 818

697 : 1, 17, 41, 697

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

406 : 1, 2, 7, 14, 29, 58, 203, 406

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 818,697,910,406, is 1.

Now, the common factors can be found like this.

818:2x 409

697:17x 41

910:2x 5x 7x 13

406:2x 7x 29

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 7 = 28

Therefore, the value for common factors is 28.

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 = 210646141160/(1x28)

LCM = 210646141160/28

LCM = 7523076470

Thus, we can understand that the LCM of 818,697,910,406 is 7523076470.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 818, 697, 910, 406

1. What is the LCM of 818, 697, 910, 406?

Answer: LCM of 818, 697, 910, 406 is 7523076470.

2. How to calculate the LCM of 818, 697, 910, 406?

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 818, 697, 910, 406.

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}.