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LCM of 781, 817, 667, 341

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


Find the LCM of 781, 817, 667, 341 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 781, 817, 667, 341. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 781,817,667,341

Given numbers are 781,817,667,341

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

The LCM of 781,817,667,341 is 13193518129.

Find LCM of 781,817,667,341 with Prime Factorization


11 781, 817, 667, 341
71, 817, 667, 31

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

11 x 71 x 817 x 667 x 31 = 13193518129

Therefore, the lowest common multiple of 781,817,667,341 is 13193518129.

LCM Formula to Find Lowest Common Multiple of 781,817,667,341

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.

781 x 817 x 667 x 341 = 145128699419

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.

781 : 1, 11, 71, 781

817 : 1, 19, 43, 817

667 : 1, 23, 29, 667

341 : 1, 11, 31, 341

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 781,817,667,341, is 1.

Now, the common factors can be found like this.

781:11x 71

817:19x 43

667:23x 29

341:11x 31

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

11 = 11

Therefore, the value for common factors is 11.

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 = 145128699419/(1x11)

LCM = 145128699419/11

LCM = 13193518129

Thus, we can understand that the LCM of 781,817,667,341 is 13193518129.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 781, 817, 667, 341

1. What is the LCM of 781, 817, 667, 341?

Answer: LCM of 781, 817, 667, 341 is 13193518129.

2. How to calculate the LCM of 781, 817, 667, 341?

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 781, 817, 667, 341.

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}.