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LCM of 548, 124, 791, 337, 829

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


Find the LCM of 548, 124, 791, 337, 829 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 548, 124, 791, 337, 829. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 548,124,791,337,829

Given numbers are 548,124,791,337,829

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

The LCM of 548,124,791,337,829 is 3754076922484.

Find LCM of 548,124,791,337,829 with Prime Factorization


2 548, 124, 791, 337, 829
2 274, 62, 791, 337, 829
137, 31, 791, 337, 829

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

2 x 2 x 137 x 31 x 791 x 337 x 829 = 3754076922484

Therefore, the lowest common multiple of 548,124,791,337,829 is 3754076922484.

LCM Formula to Find Lowest Common Multiple of 548,124,791,337,829

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.

548 x 124 x 791 x 337 x 829 = 15016307689936

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.

548 : 1, 2, 4, 137, 274, 548

124 : 1, 2, 4, 31, 62, 124

791 : 1, 7, 113, 791

337 : 1, 337

829 : 1, 829

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 548,124,791,337,829, is 1.

Now, the common factors can be found like this.

548:2x 2x 137

124:2x 2x 31

791:7x 113

337:337

829:829

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 = 15016307689936/(1x4)

LCM = 15016307689936/4

LCM = 3754076922484

Thus, we can understand that the LCM of 548,124,791,337,829 is 3754076922484.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 548, 124, 791, 337, 829

1. What is the LCM of 548, 124, 791, 337, 829?

Answer: LCM of 548, 124, 791, 337, 829 is 3754076922484.

2. How to calculate the LCM of 548, 124, 791, 337, 829?

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 548, 124, 791, 337, 829.

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}.