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LCM of 769, 572, 597, 591, 665

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


Find the LCM of 769, 572, 597, 591, 665 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 769, 572, 597, 591, 665. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 769,572,597,591,665

Given numbers are 769,572,597,591,665

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

The LCM of 769,572,597,591,665 is 34402069681980.

Find LCM of 769,572,597,591,665 with Prime Factorization


3 769, 572, 597, 591, 665
769, 572, 199, 197, 665

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

3 x 769 x 572 x 199 x 197 x 665 = 34402069681980

Therefore, the lowest common multiple of 769,572,597,591,665 is 34402069681980.

LCM Formula to Find Lowest Common Multiple of 769,572,597,591,665

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.

769 x 572 x 597 x 591 x 665 = 103206209045940

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.

769 : 1, 769

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

597 : 1, 3, 199, 597

591 : 1, 3, 197, 591

665 : 1, 5, 7, 19, 35, 95, 133, 665

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 769,572,597,591,665, is 1.

Now, the common factors can be found like this.

769:769

572:2x 2x 11x 13

597:3x 199

591:3x 197

665:5x 7x 19

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 = 103206209045940/(1x3)

LCM = 103206209045940/3

LCM = 34402069681980

Thus, we can understand that the LCM of 769,572,597,591,665 is 34402069681980.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 769, 572, 597, 591, 665

1. What is the LCM of 769, 572, 597, 591, 665?

Answer: LCM of 769, 572, 597, 591, 665 is 34402069681980.

2. How to calculate the LCM of 769, 572, 597, 591, 665?

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 769, 572, 597, 591, 665.

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}.