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LCM of 818, 899, 803, 917, 261

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


Find the LCM of 818, 899, 803, 917, 261 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 818, 899, 803, 917, 261. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 818,899,803,917,261

Given numbers are 818,899,803,917,261

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

The LCM of 818,899,803,917,261 is 4873493439738.

Find LCM of 818,899,803,917,261 with Prime Factorization


29 818, 899, 803, 917, 261
818, 31, 803, 917, 9

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

29 x 818 x 31 x 803 x 917 x 9 = 4873493439738

Therefore, the lowest common multiple of 818,899,803,917,261 is 4873493439738.

LCM Formula to Find Lowest Common Multiple of 818,899,803,917,261

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.

818 x 899 x 803 x 917 x 261 = 141331309752402

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.

818 : 1, 2, 409, 818

899 : 1, 29, 31, 899

803 : 1, 11, 73, 803

917 : 1, 7, 131, 917

261 : 1, 3, 9, 29, 87, 261

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 818,899,803,917,261, is 1.

Now, the common factors can be found like this.

818:2x 409

899:29x 31

803:11x 73

917:7x 131

261:3x 3x 29

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

29 = 29

Therefore, the value for common factors is 29.

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 = 141331309752402/(1x29)

LCM = 141331309752402/29

LCM = 4873493439738

Thus, we can understand that the LCM of 818,899,803,917,261 is 4873493439738.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 818, 899, 803, 917, 261

1. What is the LCM of 818, 899, 803, 917, 261?

Answer: LCM of 818, 899, 803, 917, 261 is 4873493439738.

2. How to calculate the LCM of 818, 899, 803, 917, 261?

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 818, 899, 803, 917, 261.

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}.