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LCM of 860, 165, 198, 943

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


Find the LCM of 860, 165, 198, 943 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 860, 165, 198, 943. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 860,165,198,943

Given numbers are 860,165,198,943

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

The LCM of 860,165,198,943 is 80287020.

Find LCM of 860,165,198,943 with Prime Factorization


2 860, 165, 198, 943
3 430, 165, 99, 943
5 430, 55, 33, 943
11 86, 11, 33, 943
86, 1, 3, 943

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

2 x 3 x 5 x 11 x 86 x 1 x 3 x 943 = 80287020

Therefore, the lowest common multiple of 860,165,198,943 is 80287020.

LCM Formula to Find Lowest Common Multiple of 860,165,198,943

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.

860 x 165 x 198 x 943 = 26494716600

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.

860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

165 : 1, 3, 5, 11, 15, 33, 55, 165

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

943 : 1, 23, 41, 943

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 860,165,198,943, is 1.

Now, the common factors can be found like this.

860:2x 2x 5x 43

165:3x 5x 11

198:2x 3x 3x 11

943:23x 41

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 5x 11 = 330

Therefore, the value for common factors is 330.

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 = 26494716600/(1x330)

LCM = 26494716600/330

LCM = 80287020

Thus, we can understand that the LCM of 860,165,198,943 is 80287020.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 860, 165, 198, 943

1. What is the LCM of 860, 165, 198, 943?

Answer: LCM of 860, 165, 198, 943 is 80287020.

2. How to calculate the LCM of 860, 165, 198, 943?

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 860, 165, 198, 943.

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}.