LCM of 111, 814, 867, 814, 434
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 111, 814, 867, 814, 434 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 111, 814, 867, 814, 434. So, keep reading to learn more.
Given numbers are 111,814,867,814,434
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 111,814,867,814,434 is 153145146.
Find LCM of 111,814,867,814,434 with Prime Factorization
| 2 | 111, 814, 867, 814, 434 |
| 3 | 111, 407, 867, 407, 217 |
| 11 | 37, 407, 289, 407, 217 |
| 37 | 37, 37, 289, 37, 217 |
| 1, 1, 289, 1, 217 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 37 x 1 x 1 x 289 x 1 x 217 = 153145146
Therefore, the lowest common multiple of 111,814,867,814,434 is 153145146.
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.
111 x 814 x 867 x 814 x 434 = 27674553043368
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.
111 : 1, 3, 37, 111
814 : 1, 2, 11, 22, 37, 74, 407, 814
867 : 1, 3, 17, 51, 289, 867
814 : 1, 2, 11, 22, 37, 74, 407, 814
434 : 1, 2, 7, 14, 31, 62, 217, 434
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 111,814,867,814,434, is 1.
Now, the common factors can be found like this.
111:3x 37
814:2x 11x 37
867:3x 17x 17
814:2x 11x 37
434:2x 7x 31
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 3x 11x 37x 37 = 180708
Therefore, the value for common factors is 180708.
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 = 27674553043368/(1x180708)
LCM = 27674553043368/180708
LCM = 153145146
Thus, we can understand that the LCM of 111,814,867,814,434 is 153145146.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 111, 814, 867, 814, 434
1. What is the LCM of 111, 814, 867, 814, 434?
Answer: LCM of 111, 814, 867, 814, 434 is 153145146.
2. How to calculate the LCM of 111, 814, 867, 814, 434?
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 111, 814, 867, 814, 434.
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}.