LCM of 111, 234, 468, 214
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 111, 234, 468, 214 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, 234, 468, 214. So, keep reading to learn more.
Given numbers are 111,234,468,214
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 111,234,468,214 is 1852812.
Find LCM of 111,234,468,214 with Prime Factorization
| 2 | 111, 234, 468, 214 |
| 3 | 111, 117, 234, 107 |
| 3 | 37, 39, 78, 107 |
| 13 | 37, 13, 26, 107 |
| 37, 1, 2, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 13 x 37 x 1 x 2 x 107 = 1852812
Therefore, the lowest common multiple of 111,234,468,214 is 1852812.
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 234 x 468 x 214 = 2601348048
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
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
214 : 1, 2, 107, 214
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 111,234,468,214, is 1.
Now, the common factors can be found like this.
111:3x 37
234:2x 3x 3x 13
468:2x 2x 3x 3x 13
214:2x 107
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 3x 3x 13 = 1404
Therefore, the value for common factors is 1404.
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 = 2601348048/(1x1404)
LCM = 2601348048/1404
LCM = 1852812
Thus, we can understand that the LCM of 111,234,468,214 is 1852812.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 111, 234, 468, 214
1. What is the LCM of 111, 234, 468, 214?
Answer: LCM of 111, 234, 468, 214 is 1852812.
2. How to calculate the LCM of 111, 234, 468, 214?
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, 234, 468, 214.
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}.