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LCM of 394, 213, 209, 590, 469

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


Find the LCM of 394, 213, 209, 590, 469 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 394, 213, 209, 590, 469. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 394,213,209,590,469

Given numbers are 394,213,209,590,469

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

The LCM of 394,213,209,590,469 is 2426704916790.

Find LCM of 394,213,209,590,469 with Prime Factorization


2 394, 213, 209, 590, 469
197, 213, 209, 295, 469

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

2 x 197 x 213 x 209 x 295 x 469 = 2426704916790

Therefore, the lowest common multiple of 394,213,209,590,469 is 2426704916790.

LCM Formula to Find Lowest Common Multiple of 394,213,209,590,469

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.

394 x 213 x 209 x 590 x 469 = 4853409833580

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.

394 : 1, 2, 197, 394

213 : 1, 3, 71, 213

209 : 1, 11, 19, 209

590 : 1, 2, 5, 10, 59, 118, 295, 590

469 : 1, 7, 67, 469

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 394,213,209,590,469, is 1.

Now, the common factors can be found like this.

394:2x 197

213:3x 71

209:11x 19

590:2x 5x 59

469:7x 67

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

2 = 2

Therefore, the value for common factors is 2.

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 = 4853409833580/(1x2)

LCM = 4853409833580/2

LCM = 2426704916790

Thus, we can understand that the LCM of 394,213,209,590,469 is 2426704916790.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 394, 213, 209, 590, 469

1. What is the LCM of 394, 213, 209, 590, 469?

Answer: LCM of 394, 213, 209, 590, 469 is 2426704916790.

2. How to calculate the LCM of 394, 213, 209, 590, 469?

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 394, 213, 209, 590, 469.

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}.