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LCM of 409, 327, 793, 338

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


Find the LCM of 409, 327, 793, 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 409, 327, 793, 338. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 409,327,793,338

Given numbers are 409,327,793,338

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

The LCM of 409,327,793,338 is 2757513174.

Find LCM of 409,327,793,338 with Prime Factorization


13 409, 327, 793, 338
409, 327, 61, 26

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

13 x 409 x 327 x 61 x 26 = 2757513174

Therefore, the lowest common multiple of 409,327,793,338 is 2757513174.

LCM Formula to Find Lowest Common Multiple of 409,327,793,338

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.

409 x 327 x 793 x 338 = 35847671262

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.

409 : 1, 409

327 : 1, 3, 109, 327

793 : 1, 13, 61, 793

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 409,327,793,338, is 1.

Now, the common factors can be found like this.

409:409

327:3x 109

793:13x 61

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.

13 = 13

Therefore, the value for common factors is 13.

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 = 35847671262/(1x13)

LCM = 35847671262/13

LCM = 2757513174

Thus, we can understand that the LCM of 409,327,793,338 is 2757513174.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 409, 327, 793, 338

1. What is the LCM of 409, 327, 793, 338?

Answer: LCM of 409, 327, 793, 338 is 2757513174.

2. How to calculate the LCM of 409, 327, 793, 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 409, 327, 793, 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}.