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LCM of 781, 460, 667, 331

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


Find the LCM of 781, 460, 667, 331 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, 460, 667, 331. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 781,460,667,331

Given numbers are 781,460,667,331

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

The LCM of 781,460,667,331 is 3448536740.

Find LCM of 781,460,667,331 with Prime Factorization


23 781, 460, 667, 331
781, 20, 29, 331

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

23 x 781 x 20 x 29 x 331 = 3448536740

Therefore, the lowest common multiple of 781,460,667,331 is 3448536740.

LCM Formula to Find Lowest Common Multiple of 781,460,667,331

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 460 x 667 x 331 = 79316345020

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

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

667 : 1, 23, 29, 667

331 : 1, 331

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 781,460,667,331, is 1.

Now, the common factors can be found like this.

781:11x 71

460:2x 2x 5x 23

667:23x 29

331:331

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

23 = 23

Therefore, the value for common factors is 23.

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 = 79316345020/(1x23)

LCM = 79316345020/23

LCM = 3448536740

Thus, we can understand that the LCM of 781,460,667,331 is 3448536740.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 781, 460, 667, 331

1. What is the LCM of 781, 460, 667, 331?

Answer: LCM of 781, 460, 667, 331 is 3448536740.

2. How to calculate the LCM of 781, 460, 667, 331?

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, 460, 667, 331.

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}.