LCM of 886, 121, 968, 184
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 886, 121, 968, 184 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, 121, 968, 184. So, keep reading to learn more.
Given numbers are 886,121,968,184
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 886,121,968,184 is 9862952.
Find LCM of 886,121,968,184 with Prime Factorization
| 2 | 886, 121, 968, 184 |
| 2 | 443, 121, 484, 92 |
| 2 | 443, 121, 242, 46 |
| 11 | 443, 121, 121, 23 |
| 11 | 443, 11, 11, 23 |
| 443, 1, 1, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 11 x 443 x 1 x 1 x 23 = 9862952
Therefore, the lowest common multiple of 886,121,968,184 is 9862952.
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 121 x 968 x 184 = 19094675072
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
121 : 1, 11, 121
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
184 : 1, 2, 4, 8, 23, 46, 92, 184
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 886,121,968,184, is 1.
Now, the common factors can be found like this.
886:2x 443
121:11x 11
968:2x 2x 2x 11x 11
184:2x 2x 2x 23
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 2x 11x 11 = 1936
Therefore, the value for common factors is 1936.
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 = 19094675072/(1x1936)
LCM = 19094675072/1936
LCM = 9862952
Thus, we can understand that the LCM of 886,121,968,184 is 9862952.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 886, 121, 968, 184
1. What is the LCM of 886, 121, 968, 184?
Answer: LCM of 886, 121, 968, 184 is 9862952.
2. How to calculate the LCM of 886, 121, 968, 184?
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, 121, 968, 184.
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}.