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LCM of 722, 338, 636, 398, 331

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


Find the LCM of 722, 338, 636, 398, 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 722, 338, 636, 398, 331. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 722,338,636,398,331

Given numbers are 722,338,636,398,331

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

The LCM of 722,338,636,398,331 is 2555830758156.

Find LCM of 722,338,636,398,331 with Prime Factorization


2 722, 338, 636, 398, 331
361, 169, 318, 199, 331

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

2 x 361 x 169 x 318 x 199 x 331 = 2555830758156

Therefore, the lowest common multiple of 722,338,636,398,331 is 2555830758156.

LCM Formula to Find Lowest Common Multiple of 722,338,636,398,331

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.

722 x 338 x 636 x 398 x 331 = 20446646065248

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

338 : 1, 2, 13, 26, 169, 338

636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

398 : 1, 2, 199, 398

331 : 1, 331

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 722,338,636,398,331, is 1.

Now, the common factors can be found like this.

722:2x 19x 19

338:2x 13x 13

636:2x 2x 3x 53

398:2x 199

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.

2x 2x 2 = 8

Therefore, the value for common factors is 8.

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 = 20446646065248/(1x8)

LCM = 20446646065248/8

LCM = 2555830758156

Thus, we can understand that the LCM of 722,338,636,398,331 is 2555830758156.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 722, 338, 636, 398, 331

1. What is the LCM of 722, 338, 636, 398, 331?

Answer: LCM of 722, 338, 636, 398, 331 is 2555830758156.

2. How to calculate the LCM of 722, 338, 636, 398, 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 722, 338, 636, 398, 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}.