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LCM of 381, 529, 394, 812, 788

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


Find the LCM of 381, 529, 394, 812, 788 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 381, 529, 394, 812, 788. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 381,529,394,812,788

Given numbers are 381,529,394,812,788

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

The LCM of 381,529,394,812,788 is 32240584236.

Find LCM of 381,529,394,812,788 with Prime Factorization


2 381, 529, 394, 812, 788
2 381, 529, 197, 406, 394
197 381, 529, 197, 203, 197
381, 529, 1, 203, 1

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

2 x 2 x 197 x 381 x 529 x 1 x 203 x 1 = 32240584236

Therefore, the lowest common multiple of 381,529,394,812,788 is 32240584236.

LCM Formula to Find Lowest Common Multiple of 381,529,394,812,788

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.

381 x 529 x 394 x 812 x 788 = 50811160755936

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.

381 : 1, 3, 127, 381

529 : 1, 23, 529

394 : 1, 2, 197, 394

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

788 : 1, 2, 4, 197, 394, 788

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,529,394,812,788, is 1.

Now, the common factors can be found like this.

381:3x 127

529:23x 23

394:2x 197

812:2x 2x 7x 29

788:2x 2x 197

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

2x 2x 2x 197 = 1576

Therefore, the value for common factors is 1576.

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 = 50811160755936/(1x1576)

LCM = 50811160755936/1576

LCM = 32240584236

Thus, we can understand that the LCM of 381,529,394,812,788 is 32240584236.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 381, 529, 394, 812, 788

1. What is the LCM of 381, 529, 394, 812, 788?

Answer: LCM of 381, 529, 394, 812, 788 is 32240584236.

2. How to calculate the LCM of 381, 529, 394, 812, 788?

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 381, 529, 394, 812, 788.

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}.