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LCM of 730, 807, 582, 731, 791

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


Find the LCM of 730, 807, 582, 731, 791 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 730, 807, 582, 731, 791. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 730,807,582,731,791

Given numbers are 730,807,582,731,791

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

The LCM of 730,807,582,731,791 is 33041670011070.

Find LCM of 730,807,582,731,791 with Prime Factorization


2 730, 807, 582, 731, 791
3 365, 807, 291, 731, 791
365, 269, 97, 731, 791

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

2 x 3 x 365 x 269 x 97 x 731 x 791 = 33041670011070

Therefore, the lowest common multiple of 730,807,582,731,791 is 33041670011070.

LCM Formula to Find Lowest Common Multiple of 730,807,582,731,791

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.

730 x 807 x 582 x 731 x 791 = 198250020066420

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.

730 : 1, 2, 5, 10, 73, 146, 365, 730

807 : 1, 3, 269, 807

582 : 1, 2, 3, 6, 97, 194, 291, 582

731 : 1, 17, 43, 731

791 : 1, 7, 113, 791

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 730,807,582,731,791, is 1.

Now, the common factors can be found like this.

730:2x 5x 73

807:3x 269

582:2x 3x 97

731:17x 43

791:7x 113

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 198250020066420/(1x6)

LCM = 198250020066420/6

LCM = 33041670011070

Thus, we can understand that the LCM of 730,807,582,731,791 is 33041670011070.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 730, 807, 582, 731, 791

1. What is the LCM of 730, 807, 582, 731, 791?

Answer: LCM of 730, 807, 582, 731, 791 is 33041670011070.

2. How to calculate the LCM of 730, 807, 582, 731, 791?

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 730, 807, 582, 731, 791.

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}.