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LCM of 746, 351, 800, 866, 817

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


Find the LCM of 746, 351, 800, 866, 817 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 746, 351, 800, 866, 817. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 746,351,800,866,817

Given numbers are 746,351,800,866,817

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

The LCM of 746,351,800,866,817 is 37052361122400.

Find LCM of 746,351,800,866,817 with Prime Factorization


2 746, 351, 800, 866, 817
373, 351, 400, 433, 817

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

2 x 373 x 351 x 400 x 433 x 817 = 37052361122400

Therefore, the lowest common multiple of 746,351,800,866,817 is 37052361122400.

LCM Formula to Find Lowest Common Multiple of 746,351,800,866,817

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.

746 x 351 x 800 x 866 x 817 = 148209444489600

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.

746 : 1, 2, 373, 746

351 : 1, 3, 9, 13, 27, 39, 117, 351

800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

866 : 1, 2, 433, 866

817 : 1, 19, 43, 817

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 746,351,800,866,817, is 1.

Now, the common factors can be found like this.

746:2x 373

351:3x 3x 3x 13

800:2x 2x 2x 2x 2x 5x 5

866:2x 433

817:19x 43

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 = 148209444489600/(1x4)

LCM = 148209444489600/4

LCM = 37052361122400

Thus, we can understand that the LCM of 746,351,800,866,817 is 37052361122400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 746, 351, 800, 866, 817

1. What is the LCM of 746, 351, 800, 866, 817?

Answer: LCM of 746, 351, 800, 866, 817 is 37052361122400.

2. How to calculate the LCM of 746, 351, 800, 866, 817?

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 746, 351, 800, 866, 817.

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}.