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LCM of 922, 711, 836, 396, 559

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


Find the LCM of 922, 711, 836, 396, 559 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 922, 711, 836, 396, 559. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 922,711,836,396,559

Given numbers are 922,711,836,396,559

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

The LCM of 922,711,836,396,559 is 153175254804.

Find LCM of 922,711,836,396,559 with Prime Factorization


2 922, 711, 836, 396, 559
2 461, 711, 418, 198, 559
3 461, 711, 209, 99, 559
3 461, 237, 209, 33, 559
11 461, 79, 209, 11, 559
461, 79, 19, 1, 559

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

2 x 2 x 3 x 3 x 11 x 461 x 79 x 19 x 1 x 559 = 153175254804

Therefore, the lowest common multiple of 922,711,836,396,559 is 153175254804.

LCM Formula to Find Lowest Common Multiple of 922,711,836,396,559

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.

922 x 711 x 836 x 396 x 559 = 121314801804768

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.

922 : 1, 2, 461, 922

711 : 1, 3, 9, 79, 237, 711

836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

559 : 1, 13, 43, 559

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 922,711,836,396,559, is 1.

Now, the common factors can be found like this.

922:2x 461

711:3x 3x 79

836:2x 2x 11x 19

396:2x 2x 3x 3x 11

559:13x 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 2x 2x 3x 3x 11 = 792

Therefore, the value for common factors is 792.

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 = 121314801804768/(1x792)

LCM = 121314801804768/792

LCM = 153175254804

Thus, we can understand that the LCM of 922,711,836,396,559 is 153175254804.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 922, 711, 836, 396, 559

1. What is the LCM of 922, 711, 836, 396, 559?

Answer: LCM of 922, 711, 836, 396, 559 is 153175254804.

2. How to calculate the LCM of 922, 711, 836, 396, 559?

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 922, 711, 836, 396, 559.

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}.