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LCM of 517, 914, 543, 726, 438

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


Find the LCM of 517, 914, 543, 726, 438 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 517, 914, 543, 726, 438. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 517,914,543,726,438

Given numbers are 517,914,543,726,438

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

The LCM of 517,914,543,726,438 is 206040271602.

Find LCM of 517,914,543,726,438 with Prime Factorization


2 517, 914, 543, 726, 438
3 517, 457, 543, 363, 219
11 517, 457, 181, 121, 73
47, 457, 181, 11, 73

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

2 x 3 x 11 x 47 x 457 x 181 x 11 x 73 = 206040271602

Therefore, the lowest common multiple of 517,914,543,726,438 is 206040271602.

LCM Formula to Find Lowest Common Multiple of 517,914,543,726,438

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.

517 x 914 x 543 x 726 x 438 = 81591947554392

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.

517 : 1, 11, 47, 517

914 : 1, 2, 457, 914

543 : 1, 3, 181, 543

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

438 : 1, 2, 3, 6, 73, 146, 219, 438

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 517,914,543,726,438, is 1.

Now, the common factors can be found like this.

517:11x 47

914:2x 457

543:3x 181

726:2x 3x 11x 11

438:2x 3x 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 2x 3x 3x 11 = 396

Therefore, the value for common factors is 396.

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 = 81591947554392/(1x396)

LCM = 81591947554392/396

LCM = 206040271602

Thus, we can understand that the LCM of 517,914,543,726,438 is 206040271602.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 517, 914, 543, 726, 438

1. What is the LCM of 517, 914, 543, 726, 438?

Answer: LCM of 517, 914, 543, 726, 438 is 206040271602.

2. How to calculate the LCM of 517, 914, 543, 726, 438?

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 517, 914, 543, 726, 438.

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}.