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LCM of 105, 491, 805, 713, 811

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


Find the LCM of 105, 491, 805, 713, 811 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 105, 491, 805, 713, 811. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 105,491,805,713,811

Given numbers are 105,491,805,713,811

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

The LCM of 105,491,805,713,811 is 29811317865.

Find LCM of 105,491,805,713,811 with Prime Factorization


5 105, 491, 805, 713, 811
7 21, 491, 161, 713, 811
23 3, 491, 23, 713, 811
3, 491, 1, 31, 811

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

5 x 7 x 23 x 3 x 491 x 1 x 31 x 811 = 29811317865

Therefore, the lowest common multiple of 105,491,805,713,811 is 29811317865.

LCM Formula to Find Lowest Common Multiple of 105,491,805,713,811

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.

105 x 491 x 805 x 713 x 811 = 23998110881325

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.

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

491 : 1, 491

805 : 1, 5, 7, 23, 35, 115, 161, 805

713 : 1, 23, 31, 713

811 : 1, 811

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 105,491,805,713,811, is 1.

Now, the common factors can be found like this.

105:3x 5x 7

491:491

805:5x 7x 23

713:23x 31

811:811

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

5x 7x 23 = 805

Therefore, the value for common factors is 805.

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 = 23998110881325/(1x805)

LCM = 23998110881325/805

LCM = 29811317865

Thus, we can understand that the LCM of 105,491,805,713,811 is 29811317865.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 105, 491, 805, 713, 811

1. What is the LCM of 105, 491, 805, 713, 811?

Answer: LCM of 105, 491, 805, 713, 811 is 29811317865.

2. How to calculate the LCM of 105, 491, 805, 713, 811?

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 105, 491, 805, 713, 811.

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}.