LCM of 856, 687, 867, 968
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 856, 687, 867, 968 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 856, 687, 867, 968. So, keep reading to learn more.
Given numbers are 856,687,867,968
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 856,687,867,968 is 20564289768.
Find LCM of 856,687,867,968 with Prime Factorization
| 2 | 856, 687, 867, 968 |
| 2 | 428, 687, 867, 484 |
| 2 | 214, 687, 867, 242 |
| 3 | 107, 687, 867, 121 |
| 107, 229, 289, 121 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 107 x 229 x 289 x 121 = 20564289768
Therefore, the lowest common multiple of 856,687,867,968 is 20564289768.
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.
856 x 687 x 867 x 968 = 493542954432
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.
856 : 1, 2, 4, 8, 107, 214, 428, 856
687 : 1, 3, 229, 687
867 : 1, 3, 17, 51, 289, 867
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 856,687,867,968, is 1.
Now, the common factors can be found like this.
856:2x 2x 2x 107
687:3x 229
867:3x 17x 17
968:2x 2x 2x 11x 11
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 2x 3 = 24
Therefore, the value for common factors is 24.
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 = 493542954432/(1x24)
LCM = 493542954432/24
LCM = 20564289768
Thus, we can understand that the LCM of 856,687,867,968 is 20564289768.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 856, 687, 867, 968
1. What is the LCM of 856, 687, 867, 968?
Answer: LCM of 856, 687, 867, 968 is 20564289768.
2. How to calculate the LCM of 856, 687, 867, 968?
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 856, 687, 867, 968.
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}.