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LCM of 943, 723, 940, 425, 808

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


Find the LCM of 943, 723, 940, 425, 808 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 943, 723, 940, 425, 808. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 943,723,940,425,808

Given numbers are 943,723,940,425,808

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

The LCM of 943,723,940,425,808 is 11003938102200.

Find LCM of 943,723,940,425,808 with Prime Factorization


2 943, 723, 940, 425, 808
2 943, 723, 470, 425, 404
5 943, 723, 235, 425, 202
943, 723, 47, 85, 202

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

2 x 2 x 5 x 943 x 723 x 47 x 85 x 202 = 11003938102200

Therefore, the lowest common multiple of 943,723,940,425,808 is 11003938102200.

LCM Formula to Find Lowest Common Multiple of 943,723,940,425,808

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.

943 x 723 x 940 x 425 x 808 = 220078762044000

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.

943 : 1, 23, 41, 943

723 : 1, 3, 241, 723

940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

425 : 1, 5, 17, 25, 85, 425

808 : 1, 2, 4, 8, 101, 202, 404, 808

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 943,723,940,425,808, is 1.

Now, the common factors can be found like this.

943:23x 41

723:3x 241

940:2x 2x 5x 47

425:5x 5x 17

808:2x 2x 2x 101

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 5 = 20

Therefore, the value for common factors is 20.

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 = 220078762044000/(1x20)

LCM = 220078762044000/20

LCM = 11003938102200

Thus, we can understand that the LCM of 943,723,940,425,808 is 11003938102200.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 943, 723, 940, 425, 808

1. What is the LCM of 943, 723, 940, 425, 808?

Answer: LCM of 943, 723, 940, 425, 808 is 11003938102200.

2. How to calculate the LCM of 943, 723, 940, 425, 808?

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 943, 723, 940, 425, 808.

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}.