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LCM of 711, 758, 299, 709, 559

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


Find the LCM of 711, 758, 299, 709, 559 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, 758, 299, 709, 559. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 711,758,299,709,559

Given numbers are 711,758,299,709,559

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

The LCM of 711,758,299,709,559 is 4912750238994.

Find LCM of 711,758,299,709,559 with Prime Factorization


13 711, 758, 299, 709, 559
711, 758, 23, 709, 43

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

13 x 711 x 758 x 23 x 709 x 43 = 4912750238994

Therefore, the lowest common multiple of 711,758,299,709,559 is 4912750238994.

LCM Formula to Find Lowest Common Multiple of 711,758,299,709,559

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 758 x 299 x 709 x 559 = 63865753106922

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

758 : 1, 2, 379, 758

299 : 1, 13, 23, 299

709 : 1, 709

559 : 1, 13, 43, 559

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 711,758,299,709,559, is 1.

Now, the common factors can be found like this.

711:3x 3x 79

758:2x 379

299:13x 23

709:709

559:13x 43

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 = 63865753106922/(1x13)

LCM = 63865753106922/13

LCM = 4912750238994

Thus, we can understand that the LCM of 711,758,299,709,559 is 4912750238994.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 711, 758, 299, 709, 559

1. What is the LCM of 711, 758, 299, 709, 559?

Answer: LCM of 711, 758, 299, 709, 559 is 4912750238994.

2. How to calculate the LCM of 711, 758, 299, 709, 559?

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, 758, 299, 709, 559.

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}.