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LCM of 914, 836, 143, 566, 605

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


Find the LCM of 914, 836, 143, 566, 605 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 914, 836, 143, 566, 605. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 914,836,143,566,605

Given numbers are 914,836,143,566,605

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

The LCM of 914,836,143,566,605 is 77306311940.

Find LCM of 914,836,143,566,605 with Prime Factorization


2 914, 836, 143, 566, 605
11 457, 418, 143, 283, 605
457, 38, 13, 283, 55

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

2 x 11 x 457 x 38 x 13 x 283 x 55 = 77306311940

Therefore, the lowest common multiple of 914,836,143,566,605 is 77306311940.

LCM Formula to Find Lowest Common Multiple of 914,836,143,566,605

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.

914 x 836 x 143 x 566 x 605 = 37416254978960

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.

914 : 1, 2, 457, 914

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

143 : 1, 11, 13, 143

566 : 1, 2, 283, 566

605 : 1, 5, 11, 55, 121, 605

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 914,836,143,566,605, is 1.

Now, the common factors can be found like this.

914:2x 457

836:2x 2x 11x 19

143:11x 13

566:2x 283

605:5x 11x 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 11x 11 = 484

Therefore, the value for common factors is 484.

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 = 37416254978960/(1x484)

LCM = 37416254978960/484

LCM = 77306311940

Thus, we can understand that the LCM of 914,836,143,566,605 is 77306311940.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 914, 836, 143, 566, 605

1. What is the LCM of 914, 836, 143, 566, 605?

Answer: LCM of 914, 836, 143, 566, 605 is 77306311940.

2. How to calculate the LCM of 914, 836, 143, 566, 605?

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 914, 836, 143, 566, 605.

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}.