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LCM of 722, 879, 418, 781

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


Find the LCM of 722, 879, 418, 781 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 722, 879, 418, 781. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 722,879,418,781

Given numbers are 722,879,418,781

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

The LCM of 722,879,418,781 is 495652278.

Find LCM of 722,879,418,781 with Prime Factorization


2 722, 879, 418, 781
11 361, 879, 209, 781
19 361, 879, 19, 71
1, 879, 19, 71

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

2 x 11 x 19 x 1 x 879 x 19 x 71 = 495652278

Therefore, the lowest common multiple of 722,879,418,781 is 495652278.

LCM Formula to Find Lowest Common Multiple of 722,879,418,781

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.

722 x 879 x 418 x 781 = 207182652204

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.

722 : 1, 2, 19, 38, 361, 722

879 : 1, 3, 293, 879

418 : 1, 2, 11, 19, 22, 38, 209, 418

781 : 1, 11, 71, 781

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 722,879,418,781, is 1.

Now, the common factors can be found like this.

722:2x 19x 19

879:3x 293

418:2x 11x 19

781:11x 71

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

2x 11x 19 = 418

Therefore, the value for common factors is 418.

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 = 207182652204/(1x418)

LCM = 207182652204/418

LCM = 495652278

Thus, we can understand that the LCM of 722,879,418,781 is 495652278.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 722, 879, 418, 781

1. What is the LCM of 722, 879, 418, 781?

Answer: LCM of 722, 879, 418, 781 is 495652278.

2. How to calculate the LCM of 722, 879, 418, 781?

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 722, 879, 418, 781.

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}.