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LCM of 361, 394, 591, 376

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


Find the LCM of 361, 394, 591, 376 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 361, 394, 591, 376. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 361,394,591,376

Given numbers are 361,394,591,376

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

The LCM of 361,394,591,376 is 80219976.

Find LCM of 361,394,591,376 with Prime Factorization


2 361, 394, 591, 376
197 361, 197, 591, 188
361, 1, 3, 188

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

2 x 197 x 361 x 1 x 3 x 188 = 80219976

Therefore, the lowest common multiple of 361,394,591,376 is 80219976.

LCM Formula to Find Lowest Common Multiple of 361,394,591,376

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.

361 x 394 x 591 x 376 = 31606670544

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.

361 : 1, 19, 361

394 : 1, 2, 197, 394

591 : 1, 3, 197, 591

376 : 1, 2, 4, 8, 47, 94, 188, 376

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,394,591,376, is 1.

Now, the common factors can be found like this.

361:19x 19

394:2x 197

591:3x 197

376:2x 2x 2x 47

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 197 = 394

Therefore, the value for common factors is 394.

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 = 31606670544/(1x394)

LCM = 31606670544/394

LCM = 80219976

Thus, we can understand that the LCM of 361,394,591,376 is 80219976.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 361, 394, 591, 376

1. What is the LCM of 361, 394, 591, 376?

Answer: LCM of 361, 394, 591, 376 is 80219976.

2. How to calculate the LCM of 361, 394, 591, 376?

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 361, 394, 591, 376.

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}.