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LCM of 739, 814, 418, 579

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


Find the LCM of 739, 814, 418, 579 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 739, 814, 418, 579. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 739,814,418,579

Given numbers are 739,814,418,579

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

The LCM of 739,814,418,579 is 6617607546.

Find LCM of 739,814,418,579 with Prime Factorization


2 739, 814, 418, 579
11 739, 407, 209, 579
739, 37, 19, 579

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

2 x 11 x 739 x 37 x 19 x 579 = 6617607546

Therefore, the lowest common multiple of 739,814,418,579 is 6617607546.

LCM Formula to Find Lowest Common Multiple of 739,814,418,579

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.

739 x 814 x 418 x 579 = 145587366012

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.

739 : 1, 739

814 : 1, 2, 11, 22, 37, 74, 407, 814

418 : 1, 2, 11, 19, 22, 38, 209, 418

579 : 1, 3, 193, 579

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 739,814,418,579, is 1.

Now, the common factors can be found like this.

739:739

814:2x 11x 37

418:2x 11x 19

579:3x 193

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 145587366012/(1x22)

LCM = 145587366012/22

LCM = 6617607546

Thus, we can understand that the LCM of 739,814,418,579 is 6617607546.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 739, 814, 418, 579

1. What is the LCM of 739, 814, 418, 579?

Answer: LCM of 739, 814, 418, 579 is 6617607546.

2. How to calculate the LCM of 739, 814, 418, 579?

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 739, 814, 418, 579.

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}.