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LCM of 338, 755, 948, 712, 819

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


Find the LCM of 338, 755, 948, 712, 819 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 338, 755, 948, 712, 819. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 338,755,948,712,819

Given numbers are 338,755,948,712,819

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

The LCM of 338,755,948,712,819 is 452148704280.

Find LCM of 338,755,948,712,819 with Prime Factorization


2 338, 755, 948, 712, 819
2 169, 755, 474, 356, 819
3 169, 755, 237, 178, 819
13 169, 755, 79, 178, 273
13, 755, 79, 178, 21

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

2 x 2 x 3 x 13 x 13 x 755 x 79 x 178 x 21 = 452148704280

Therefore, the lowest common multiple of 338,755,948,712,819 is 452148704280.

LCM Formula to Find Lowest Common Multiple of 338,755,948,712,819

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.

338 x 755 x 948 x 712 x 819 = 141070395735360

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.

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

755 : 1, 5, 151, 755

948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

712 : 1, 2, 4, 8, 89, 178, 356, 712

819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,755,948,712,819, is 1.

Now, the common factors can be found like this.

338:2x 13x 13

755:5x 151

948:2x 2x 3x 79

712:2x 2x 2x 89

819:3x 3x 7x 13

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 13 = 312

Therefore, the value for common factors is 312.

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 = 141070395735360/(1x312)

LCM = 141070395735360/312

LCM = 452148704280

Thus, we can understand that the LCM of 338,755,948,712,819 is 452148704280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 338, 755, 948, 712, 819

1. What is the LCM of 338, 755, 948, 712, 819?

Answer: LCM of 338, 755, 948, 712, 819 is 452148704280.

2. How to calculate the LCM of 338, 755, 948, 712, 819?

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 338, 755, 948, 712, 819.

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}.