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LCM of 716, 481, 377, 665, 417

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


Find the LCM of 716, 481, 377, 665, 417 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 716, 481, 377, 665, 417. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 716,481,377,665,417

Given numbers are 716,481,377,665,417

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

The LCM of 716,481,377,665,417 is 2769579250620.

Find LCM of 716,481,377,665,417 with Prime Factorization


13 716, 481, 377, 665, 417
716, 37, 29, 665, 417

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

13 x 716 x 37 x 29 x 665 x 417 = 2769579250620

Therefore, the lowest common multiple of 716,481,377,665,417 is 2769579250620.

LCM Formula to Find Lowest Common Multiple of 716,481,377,665,417

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.

716 x 481 x 377 x 665 x 417 = 36004530258060

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.

716 : 1, 2, 4, 179, 358, 716

481 : 1, 13, 37, 481

377 : 1, 13, 29, 377

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

417 : 1, 3, 139, 417

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 716,481,377,665,417, is 1.

Now, the common factors can be found like this.

716:2x 2x 179

481:13x 37

377:13x 29

665:5x 7x 19

417:3x 139

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 = 36004530258060/(1x13)

LCM = 36004530258060/13

LCM = 2769579250620

Thus, we can understand that the LCM of 716,481,377,665,417 is 2769579250620.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 716, 481, 377, 665, 417

1. What is the LCM of 716, 481, 377, 665, 417?

Answer: LCM of 716, 481, 377, 665, 417 is 2769579250620.

2. How to calculate the LCM of 716, 481, 377, 665, 417?

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 716, 481, 377, 665, 417.

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}.