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LCM of 818, 701, 869, 361, 816

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


Find the LCM of 818, 701, 869, 361, 816 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, 701, 869, 361, 816. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 818,701,869,361,816

Given numbers are 818,701,869,361,816

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

The LCM of 818,701,869,361,816 is 73393646043696.

Find LCM of 818,701,869,361,816 with Prime Factorization


2 818, 701, 869, 361, 816
409, 701, 869, 361, 408

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

2 x 409 x 701 x 869 x 361 x 408 = 73393646043696

Therefore, the lowest common multiple of 818,701,869,361,816 is 73393646043696.

LCM Formula to Find Lowest Common Multiple of 818,701,869,361,816

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 701 x 869 x 361 x 816 = 146787292087392

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

701 : 1, 701

869 : 1, 11, 79, 869

361 : 1, 19, 361

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 818,701,869,361,816, is 1.

Now, the common factors can be found like this.

818:2x 409

701:701

869:11x 79

361:19x 19

816:2x 2x 2x 2x 3x 17

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 = 146787292087392/(1x2)

LCM = 146787292087392/2

LCM = 73393646043696

Thus, we can understand that the LCM of 818,701,869,361,816 is 73393646043696.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 818, 701, 869, 361, 816

1. What is the LCM of 818, 701, 869, 361, 816?

Answer: LCM of 818, 701, 869, 361, 816 is 73393646043696.

2. How to calculate the LCM of 818, 701, 869, 361, 816?

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, 701, 869, 361, 816.

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}.