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LCM of 818, 451, 794, 616

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


Find the LCM of 818, 451, 794, 616 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, 451, 794, 616. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 818,451,794,616

Given numbers are 818,451,794,616

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

The LCM of 818,451,794,616 is 4100892488.

Find LCM of 818,451,794,616 with Prime Factorization


2 818, 451, 794, 616
11 409, 451, 397, 308
409, 41, 397, 28

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

2 x 11 x 409 x 41 x 397 x 28 = 4100892488

Therefore, the lowest common multiple of 818,451,794,616 is 4100892488.

LCM Formula to Find Lowest Common Multiple of 818,451,794,616

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 451 x 794 x 616 = 180439269472

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

451 : 1, 11, 41, 451

794 : 1, 2, 397, 794

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 818,451,794,616, is 1.

Now, the common factors can be found like this.

818:2x 409

451:11x 41

794:2x 397

616:2x 2x 2x 7x 11

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 11 = 44

Therefore, the value for common factors is 44.

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 = 180439269472/(1x44)

LCM = 180439269472/44

LCM = 4100892488

Thus, we can understand that the LCM of 818,451,794,616 is 4100892488.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 818, 451, 794, 616

1. What is the LCM of 818, 451, 794, 616?

Answer: LCM of 818, 451, 794, 616 is 4100892488.

2. How to calculate the LCM of 818, 451, 794, 616?

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, 451, 794, 616.

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}.