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LCM of 731, 959, 899, 758, 828

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


Find the LCM of 731, 959, 899, 758, 828 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 731, 959, 899, 758, 828. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 731,959,899,758,828

Given numbers are 731,959,899,758,828

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

The LCM of 731,959,899,758,828 is 197772189980652.

Find LCM of 731,959,899,758,828 with Prime Factorization


2 731, 959, 899, 758, 828
731, 959, 899, 379, 414

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

2 x 731 x 959 x 899 x 379 x 414 = 197772189980652

Therefore, the lowest common multiple of 731,959,899,758,828 is 197772189980652.

LCM Formula to Find Lowest Common Multiple of 731,959,899,758,828

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.

731 x 959 x 899 x 758 x 828 = 395544379961304

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.

731 : 1, 17, 43, 731

959 : 1, 7, 137, 959

899 : 1, 29, 31, 899

758 : 1, 2, 379, 758

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 731,959,899,758,828, is 1.

Now, the common factors can be found like this.

731:17x 43

959:7x 137

899:29x 31

758:2x 379

828:2x 2x 3x 3x 23

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

2 = 2

Therefore, the value for common factors is 2.

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 = 395544379961304/(1x2)

LCM = 395544379961304/2

LCM = 197772189980652

Thus, we can understand that the LCM of 731,959,899,758,828 is 197772189980652.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 731, 959, 899, 758, 828

1. What is the LCM of 731, 959, 899, 758, 828?

Answer: LCM of 731, 959, 899, 758, 828 is 197772189980652.

2. How to calculate the LCM of 731, 959, 899, 758, 828?

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 731, 959, 899, 758, 828.

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}.