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LCM of 754, 793, 339, 338

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


Find the LCM of 754, 793, 339, 338 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 754, 793, 339, 338. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 754,793,339,338

Given numbers are 754,793,339,338

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

The LCM of 754,793,339,338 is 202695558.

Find LCM of 754,793,339,338 with Prime Factorization


2 754, 793, 339, 338
13 377, 793, 339, 169
29, 61, 339, 13

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

2 x 13 x 29 x 61 x 339 x 13 = 202695558

Therefore, the lowest common multiple of 754,793,339,338 is 202695558.

LCM Formula to Find Lowest Common Multiple of 754,793,339,338

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.

754 x 793 x 339 x 338 = 68511098604

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.

754 : 1, 2, 13, 26, 29, 58, 377, 754

793 : 1, 13, 61, 793

339 : 1, 3, 113, 339

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 754,793,339,338, is 1.

Now, the common factors can be found like this.

754:2x 13x 29

793:13x 61

339:3x 113

338:2x 13x 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 13x 13 = 338

Therefore, the value for common factors is 338.

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 = 68511098604/(1x338)

LCM = 68511098604/338

LCM = 202695558

Thus, we can understand that the LCM of 754,793,339,338 is 202695558.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 754, 793, 339, 338

1. What is the LCM of 754, 793, 339, 338?

Answer: LCM of 754, 793, 339, 338 is 202695558.

2. How to calculate the LCM of 754, 793, 339, 338?

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 754, 793, 339, 338.

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}.