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LCM of 394, 434, 815, 164

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


Find the LCM of 394, 434, 815, 164 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, 434, 815, 164. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 394,434,815,164

Given numbers are 394,434,815,164

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

The LCM of 394,434,815,164 is 5713831340.

Find LCM of 394,434,815,164 with Prime Factorization


2 394, 434, 815, 164
197, 217, 815, 82

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

2 x 197 x 217 x 815 x 82 = 5713831340

Therefore, the lowest common multiple of 394,434,815,164 is 5713831340.

LCM Formula to Find Lowest Common Multiple of 394,434,815,164

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 434 x 815 x 164 = 22855325360

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

434 : 1, 2, 7, 14, 31, 62, 217, 434

815 : 1, 5, 163, 815

164 : 1, 2, 4, 41, 82, 164

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 394,434,815,164, is 1.

Now, the common factors can be found like this.

394:2x 197

434:2x 7x 31

815:5x 163

164:2x 2x 41

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 22855325360/(1x4)

LCM = 22855325360/4

LCM = 5713831340

Thus, we can understand that the LCM of 394,434,815,164 is 5713831340.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 394, 434, 815, 164

1. What is the LCM of 394, 434, 815, 164?

Answer: LCM of 394, 434, 815, 164 is 5713831340.

2. How to calculate the LCM of 394, 434, 815, 164?

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, 434, 815, 164.

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}.