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LCM of 724, 379, 929, 494, 344

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


Find the LCM of 724, 379, 929, 494, 344 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 724, 379, 929, 494, 344. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 724,379,929,494,344

Given numbers are 724,379,929,494,344

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

The LCM of 724,379,929,494,344 is 5414880723928.

Find LCM of 724,379,929,494,344 with Prime Factorization


2 724, 379, 929, 494, 344
2 362, 379, 929, 247, 172
181, 379, 929, 247, 86

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

2 x 2 x 181 x 379 x 929 x 247 x 86 = 5414880723928

Therefore, the lowest common multiple of 724,379,929,494,344 is 5414880723928.

LCM Formula to Find Lowest Common Multiple of 724,379,929,494,344

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.

724 x 379 x 929 x 494 x 344 = 43319045791424

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.

724 : 1, 2, 4, 181, 362, 724

379 : 1, 379

929 : 1, 929

494 : 1, 2, 13, 19, 26, 38, 247, 494

344 : 1, 2, 4, 8, 43, 86, 172, 344

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,379,929,494,344, is 1.

Now, the common factors can be found like this.

724:2x 2x 181

379:379

929:929

494:2x 13x 19

344:2x 2x 2x 43

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 2 = 8

Therefore, the value for common factors is 8.

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 = 43319045791424/(1x8)

LCM = 43319045791424/8

LCM = 5414880723928

Thus, we can understand that the LCM of 724,379,929,494,344 is 5414880723928.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 724, 379, 929, 494, 344

1. What is the LCM of 724, 379, 929, 494, 344?

Answer: LCM of 724, 379, 929, 494, 344 is 5414880723928.

2. How to calculate the LCM of 724, 379, 929, 494, 344?

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 724, 379, 929, 494, 344.

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}.