LCM of 234, 214, 434
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 234, 214, 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 234, 214, 434. So, keep reading to learn more.
Given numbers are 234,214,434
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 234,214,434 is 5433246.
Find LCM of 234,214,434 with Prime Factorization
| 2 | 234, 214, 434 |
| 117, 107, 217 |
Multiply the prime numbers at the bottom and the left side.
2 x 117 x 107 x 217 = 5433246
Therefore, the lowest common multiple of 234,214,434 is 5433246.
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.
234 x 214 x 434 = 21732984
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.
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
214 : 1, 2, 107, 214
434 : 1, 2, 7, 14, 31, 62, 217, 434
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 234,214,434, is 2.
Now, the common factors can be found like this.
234:2x 3x 3x 13
214:2x 107
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.
2 = 2
Therefore, the value for common factors is 2.
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 = 21732984/(2x2)
LCM = 21732984/4
LCM = 5433246
Thus, we can understand that the LCM of 234,214,434 is 5433246.
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FAQs on LCM of 234, 214, 434
1. What is the LCM of 234, 214, 434?
Answer: LCM of 234, 214, 434 is 5433246.
2. How to calculate the LCM of 234, 214, 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 234, 214, 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}.