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LCM of 379, 323, 871, 598

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


Find the LCM of 379, 323, 871, 598 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 379, 323, 871, 598. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 379,323,871,598

Given numbers are 379,323,871,598

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

The LCM of 379,323,871,598 is 4904759522.

Find LCM of 379,323,871,598 with Prime Factorization


13 379, 323, 871, 598
379, 323, 67, 46

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

13 x 379 x 323 x 67 x 46 = 4904759522

Therefore, the lowest common multiple of 379,323,871,598 is 4904759522.

LCM Formula to Find Lowest Common Multiple of 379,323,871,598

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.

379 x 323 x 871 x 598 = 63761873786

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.

379 : 1, 379

323 : 1, 17, 19, 323

871 : 1, 13, 67, 871

598 : 1, 2, 13, 23, 26, 46, 299, 598

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 379,323,871,598, is 1.

Now, the common factors can be found like this.

379:379

323:17x 19

871:13x 67

598:2x 13x 23

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

13 = 13

Therefore, the value for common factors is 13.

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 = 63761873786/(1x13)

LCM = 63761873786/13

LCM = 4904759522

Thus, we can understand that the LCM of 379,323,871,598 is 4904759522.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 379, 323, 871, 598

1. What is the LCM of 379, 323, 871, 598?

Answer: LCM of 379, 323, 871, 598 is 4904759522.

2. How to calculate the LCM of 379, 323, 871, 598?

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 379, 323, 871, 598.

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}.