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LCM of 828, 719, 713, 115

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


Find the LCM of 828, 719, 713, 115 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 828, 719, 713, 115. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 828,719,713,115

Given numbers are 828,719,713,115

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

The LCM of 828,719,713,115 is 92276460.

Find LCM of 828,719,713,115 with Prime Factorization


23 828, 719, 713, 115
36, 719, 31, 5

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

23 x 36 x 719 x 31 x 5 = 92276460

Therefore, the lowest common multiple of 828,719,713,115 is 92276460.

LCM Formula to Find Lowest Common Multiple of 828,719,713,115

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.

828 x 719 x 713 x 115 = 48814247340

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.

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

719 : 1, 719

713 : 1, 23, 31, 713

115 : 1, 5, 23, 115

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,719,713,115, is 1.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

719:719

713:23x 31

115:5x 23

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

23x 23 = 529

Therefore, the value for common factors is 529.

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 = 48814247340/(1x529)

LCM = 48814247340/529

LCM = 92276460

Thus, we can understand that the LCM of 828,719,713,115 is 92276460.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 828, 719, 713, 115

1. What is the LCM of 828, 719, 713, 115?

Answer: LCM of 828, 719, 713, 115 is 92276460.

2. How to calculate the LCM of 828, 719, 713, 115?

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 828, 719, 713, 115.

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}.