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LCM of 743, 981, 579, 605, 796

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


Find the LCM of 743, 981, 579, 605, 796 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 743, 981, 579, 605, 796. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 743,981,579,605,796

Given numbers are 743,981,579,605,796

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

The LCM of 743,981,579,605,796 is 67745986702020.

Find LCM of 743,981,579,605,796 with Prime Factorization


3 743, 981, 579, 605, 796
743, 327, 193, 605, 796

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

3 x 743 x 327 x 193 x 605 x 796 = 67745986702020

Therefore, the lowest common multiple of 743,981,579,605,796 is 67745986702020.

LCM Formula to Find Lowest Common Multiple of 743,981,579,605,796

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.

743 x 981 x 579 x 605 x 796 = 203237960106060

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.

743 : 1, 743

981 : 1, 3, 9, 109, 327, 981

579 : 1, 3, 193, 579

605 : 1, 5, 11, 55, 121, 605

796 : 1, 2, 4, 199, 398, 796

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 743,981,579,605,796, is 1.

Now, the common factors can be found like this.

743:743

981:3x 3x 109

579:3x 193

605:5x 11x 11

796:2x 2x 199

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 = 203237960106060/(1x3)

LCM = 203237960106060/3

LCM = 67745986702020

Thus, we can understand that the LCM of 743,981,579,605,796 is 67745986702020.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 743, 981, 579, 605, 796

1. What is the LCM of 743, 981, 579, 605, 796?

Answer: LCM of 743, 981, 579, 605, 796 is 67745986702020.

2. How to calculate the LCM of 743, 981, 579, 605, 796?

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 743, 981, 579, 605, 796.

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}.