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LCM of 861, 339, 273, 799, 220

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


Find the LCM of 861, 339, 273, 799, 220 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 861, 339, 273, 799, 220. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 861,339,273,799,220

Given numbers are 861,339,273,799,220

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

The LCM of 861,339,273,799,220 is 222328126020.

Find LCM of 861,339,273,799,220 with Prime Factorization


3 861, 339, 273, 799, 220
7 287, 113, 91, 799, 220
41, 113, 13, 799, 220

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

3 x 7 x 41 x 113 x 13 x 799 x 220 = 222328126020

Therefore, the lowest common multiple of 861,339,273,799,220 is 222328126020.

LCM Formula to Find Lowest Common Multiple of 861,339,273,799,220

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.

861 x 339 x 273 x 799 x 220 = 14006671939260

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.

861 : 1, 3, 7, 21, 41, 123, 287, 861

339 : 1, 3, 113, 339

273 : 1, 3, 7, 13, 21, 39, 91, 273

799 : 1, 17, 47, 799

220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 861,339,273,799,220, is 1.

Now, the common factors can be found like this.

861:3x 7x 41

339:3x 113

273:3x 7x 13

799:17x 47

220:2x 2x 5x 11

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

3x 3x 7 = 63

Therefore, the value for common factors is 63.

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 = 14006671939260/(1x63)

LCM = 14006671939260/63

LCM = 222328126020

Thus, we can understand that the LCM of 861,339,273,799,220 is 222328126020.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 861, 339, 273, 799, 220

1. What is the LCM of 861, 339, 273, 799, 220?

Answer: LCM of 861, 339, 273, 799, 220 is 222328126020.

2. How to calculate the LCM of 861, 339, 273, 799, 220?

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 861, 339, 273, 799, 220.

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}.