LCM of 886, 260, 310, 655, 187
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 886, 260, 310, 655, 187 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 886, 260, 310, 655, 187. So, keep reading to learn more.
Given numbers are 886,260,310,655,187
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 886,260,310,655,187 is 87468498260.
Find LCM of 886,260,310,655,187 with Prime Factorization
| 2 | 886, 260, 310, 655, 187 |
| 5 | 443, 130, 155, 655, 187 |
| 443, 26, 31, 131, 187 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 443 x 26 x 31 x 131 x 187 = 87468498260
Therefore, the lowest common multiple of 886,260,310,655,187 is 87468498260.
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.
886 x 260 x 310 x 655 x 187 = 8746849826000
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.
886 : 1, 2, 443, 886
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
310 : 1, 2, 5, 10, 31, 62, 155, 310
655 : 1, 5, 131, 655
187 : 1, 11, 17, 187
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 886,260,310,655,187, is 1.
Now, the common factors can be found like this.
886:2x 443
260:2x 2x 5x 13
310:2x 5x 31
655:5x 131
187:11x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 5x 5 = 100
Therefore, the value for common factors is 100.
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 = 8746849826000/(1x100)
LCM = 8746849826000/100
LCM = 87468498260
Thus, we can understand that the LCM of 886,260,310,655,187 is 87468498260.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 886, 260, 310, 655, 187
1. What is the LCM of 886, 260, 310, 655, 187?
Answer: LCM of 886, 260, 310, 655, 187 is 87468498260.
2. How to calculate the LCM of 886, 260, 310, 655, 187?
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 886, 260, 310, 655, 187.
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}.