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LCM of 494, 363, 398, 584

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


Find the LCM of 494, 363, 398, 584 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 494, 363, 398, 584. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 494,363,398,584

Given numbers are 494,363,398,584

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

The LCM of 494,363,398,584 is 10420042776.

Find LCM of 494,363,398,584 with Prime Factorization


2 494, 363, 398, 584
247, 363, 199, 292

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

2 x 247 x 363 x 199 x 292 = 10420042776

Therefore, the lowest common multiple of 494,363,398,584 is 10420042776.

LCM Formula to Find Lowest Common Multiple of 494,363,398,584

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.

494 x 363 x 398 x 584 = 41680171104

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.

494 : 1, 2, 13, 19, 26, 38, 247, 494

363 : 1, 3, 11, 33, 121, 363

398 : 1, 2, 199, 398

584 : 1, 2, 4, 8, 73, 146, 292, 584

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,363,398,584, is 1.

Now, the common factors can be found like this.

494:2x 13x 19

363:3x 11x 11

398:2x 199

584:2x 2x 2x 73

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 41680171104/(1x4)

LCM = 41680171104/4

LCM = 10420042776

Thus, we can understand that the LCM of 494,363,398,584 is 10420042776.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 494, 363, 398, 584

1. What is the LCM of 494, 363, 398, 584?

Answer: LCM of 494, 363, 398, 584 is 10420042776.

2. How to calculate the LCM of 494, 363, 398, 584?

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 494, 363, 398, 584.

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}.