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LCM of 394, 609, 427, 203

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


Find the LCM of 394, 609, 427, 203 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, 609, 427, 203. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 394,609,427,203

Given numbers are 394,609,427,203

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

The LCM of 394,609,427,203 is 14636706.

Find LCM of 394,609,427,203 with Prime Factorization


7 394, 609, 427, 203
29 394, 87, 61, 29
394, 3, 61, 1

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

7 x 29 x 394 x 3 x 61 x 1 = 14636706

Therefore, the lowest common multiple of 394,609,427,203 is 14636706.

LCM Formula to Find Lowest Common Multiple of 394,609,427,203

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 609 x 427 x 203 = 20798759226

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

609 : 1, 3, 7, 21, 29, 87, 203, 609

427 : 1, 7, 61, 427

203 : 1, 7, 29, 203

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 394,609,427,203, is 1.

Now, the common factors can be found like this.

394:2x 197

609:3x 7x 29

427:7x 61

203:7x 29

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

7x 7x 29 = 1421

Therefore, the value for common factors is 1421.

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 = 20798759226/(1x1421)

LCM = 20798759226/1421

LCM = 14636706

Thus, we can understand that the LCM of 394,609,427,203 is 14636706.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 394, 609, 427, 203

1. What is the LCM of 394, 609, 427, 203?

Answer: LCM of 394, 609, 427, 203 is 14636706.

2. How to calculate the LCM of 394, 609, 427, 203?

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, 609, 427, 203.

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}.