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LCM of 711, 519, 377, 739

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


Find the LCM of 711, 519, 377, 739 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 711, 519, 377, 739. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 711,519,377,739

Given numbers are 711,519,377,739

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

The LCM of 711,519,377,739 is 34269004809.

Find LCM of 711,519,377,739 with Prime Factorization


3 711, 519, 377, 739
237, 173, 377, 739

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

3 x 237 x 173 x 377 x 739 = 34269004809

Therefore, the lowest common multiple of 711,519,377,739 is 34269004809.

LCM Formula to Find Lowest Common Multiple of 711,519,377,739

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.

711 x 519 x 377 x 739 = 102807014427

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.

711 : 1, 3, 9, 79, 237, 711

519 : 1, 3, 173, 519

377 : 1, 13, 29, 377

739 : 1, 739

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 711,519,377,739, is 1.

Now, the common factors can be found like this.

711:3x 3x 79

519:3x 173

377:13x 29

739:739

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

3 = 3

Therefore, the value for common factors is 3.

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 = 102807014427/(1x3)

LCM = 102807014427/3

LCM = 34269004809

Thus, we can understand that the LCM of 711,519,377,739 is 34269004809.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 711, 519, 377, 739

1. What is the LCM of 711, 519, 377, 739?

Answer: LCM of 711, 519, 377, 739 is 34269004809.

2. How to calculate the LCM of 711, 519, 377, 739?

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 711, 519, 377, 739.

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}.