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LCM of 379, 484, 477, 198, 496

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


Find the LCM of 379, 484, 477, 198, 496 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 379, 484, 477, 198, 496. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 379,484,477,198,496

Given numbers are 379,484,477,198,496

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

The LCM of 379,484,477,198,496 is 10849872528.

Find LCM of 379,484,477,198,496 with Prime Factorization


2 379, 484, 477, 198, 496
2 379, 242, 477, 99, 248
3 379, 121, 477, 99, 124
3 379, 121, 159, 33, 124
11 379, 121, 53, 11, 124
379, 1, 53, 11, 124

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

2 x 2 x 3 x 3 x 11 x 379 x 1 x 53 x 11 x 124 = 10849872528

Therefore, the lowest common multiple of 379,484,477,198,496 is 10849872528.

LCM Formula to Find Lowest Common Multiple of 379,484,477,198,496

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.

379 x 484 x 477 x 198 x 496 = 8593099042176

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.

379 : 1, 379

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

477 : 1, 3, 9, 53, 159, 477

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 379,484,477,198,496, is 1.

Now, the common factors can be found like this.

379:379

484:2x 2x 11x 11

477:3x 3x 53

198:2x 3x 3x 11

496:2x 2x 2x 2x 31

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 2x 3x 3x 11 = 792

Therefore, the value for common factors is 792.

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 = 8593099042176/(1x792)

LCM = 8593099042176/792

LCM = 10849872528

Thus, we can understand that the LCM of 379,484,477,198,496 is 10849872528.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 379, 484, 477, 198, 496

1. What is the LCM of 379, 484, 477, 198, 496?

Answer: LCM of 379, 484, 477, 198, 496 is 10849872528.

2. How to calculate the LCM of 379, 484, 477, 198, 496?

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 379, 484, 477, 198, 496.

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}.