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LCM of 810, 105, 264, 115

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


Find the LCM of 810, 105, 264, 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 810, 105, 264, 115. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 810,105,264,115

Given numbers are 810,105,264,115

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

The LCM of 810,105,264,115 is 5738040.

Find LCM of 810,105,264,115 with Prime Factorization


2 810, 105, 264, 115
3 405, 105, 132, 115
5 135, 35, 44, 115
27, 7, 44, 23

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

2 x 3 x 5 x 27 x 7 x 44 x 23 = 5738040

Therefore, the lowest common multiple of 810,105,264,115 is 5738040.

LCM Formula to Find Lowest Common Multiple of 810,105,264,115

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.

810 x 105 x 264 x 115 = 2582118000

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.

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

105 : 1, 3, 5, 7, 15, 21, 35, 105

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

115 : 1, 5, 23, 115

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 810,105,264,115, is 1.

Now, the common factors can be found like this.

810:2x 3x 3x 3x 3x 5

105:3x 5x 7

264:2x 2x 2x 3x 11

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.

2x 3x 3x 5x 5 = 450

Therefore, the value for common factors is 450.

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 = 2582118000/(1x450)

LCM = 2582118000/450

LCM = 5738040

Thus, we can understand that the LCM of 810,105,264,115 is 5738040.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 810, 105, 264, 115

1. What is the LCM of 810, 105, 264, 115?

Answer: LCM of 810, 105, 264, 115 is 5738040.

2. How to calculate the LCM of 810, 105, 264, 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 810, 105, 264, 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}.