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LCM of 317, 781, 812, 962

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


Find the LCM of 317, 781, 812, 962 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 317, 781, 812, 962. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 317,781,812,962

Given numbers are 317,781,812,962

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

The LCM of 317,781,812,962 is 96696644044.

Find LCM of 317,781,812,962 with Prime Factorization


2 317, 781, 812, 962
317, 781, 406, 481

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

2 x 317 x 781 x 406 x 481 = 96696644044

Therefore, the lowest common multiple of 317,781,812,962 is 96696644044.

LCM Formula to Find Lowest Common Multiple of 317,781,812,962

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.

317 x 781 x 812 x 962 = 193393288088

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.

317 : 1, 317

781 : 1, 11, 71, 781

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

962 : 1, 2, 13, 26, 37, 74, 481, 962

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 317,781,812,962, is 1.

Now, the common factors can be found like this.

317:317

781:11x 71

812:2x 2x 7x 29

962:2x 13x 37

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 = 193393288088/(1x2)

LCM = 193393288088/2

LCM = 96696644044

Thus, we can understand that the LCM of 317,781,812,962 is 96696644044.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 317, 781, 812, 962

1. What is the LCM of 317, 781, 812, 962?

Answer: LCM of 317, 781, 812, 962 is 96696644044.

2. How to calculate the LCM of 317, 781, 812, 962?

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 317, 781, 812, 962.

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}.