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LCM of 115, 851, 865, 860

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


Find the LCM of 115, 851, 865, 860 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 115, 851, 865, 860. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 115,851,865,860

Given numbers are 115,851,865,860

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

The LCM of 115,851,865,860 is 126611780.

Find LCM of 115,851,865,860 with Prime Factorization


5 115, 851, 865, 860
23 23, 851, 173, 172
1, 37, 173, 172

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

5 x 23 x 1 x 37 x 173 x 172 = 126611780

Therefore, the lowest common multiple of 115,851,865,860 is 126611780.

LCM Formula to Find Lowest Common Multiple of 115,851,865,860

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.

115 x 851 x 865 x 860 = 72801773500

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.

115 : 1, 5, 23, 115

851 : 1, 23, 37, 851

865 : 1, 5, 173, 865

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 115,851,865,860, is 1.

Now, the common factors can be found like this.

115:5x 23

851:23x 37

865:5x 173

860:2x 2x 5x 43

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

5x 5x 23 = 575

Therefore, the value for common factors is 575.

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 = 72801773500/(1x575)

LCM = 72801773500/575

LCM = 126611780

Thus, we can understand that the LCM of 115,851,865,860 is 126611780.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 115, 851, 865, 860

1. What is the LCM of 115, 851, 865, 860?

Answer: LCM of 115, 851, 865, 860 is 126611780.

2. How to calculate the LCM of 115, 851, 865, 860?

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 115, 851, 865, 860.

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}.