LCM of 230, 416, 408, 204
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 230, 416, 408, 204 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 230, 416, 408, 204. So, keep reading to learn more.
Given numbers are 230,416,408,204
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 230,416,408,204 is 2439840.
Find LCM of 230,416,408,204 with Prime Factorization
| 2 | 230, 416, 408, 204 |
| 2 | 115, 208, 204, 102 |
| 2 | 115, 104, 51, 102 |
| 3 | 115, 52, 51, 51 |
| 17 | 115, 52, 17, 17 |
| 115, 52, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 17 x 115 x 52 x 1 x 1 = 2439840
Therefore, the lowest common multiple of 230,416,408,204 is 2439840.
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.
230 x 416 x 408 x 204 = 7963637760
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.
230 : 1, 2, 5, 10, 23, 46, 115, 230
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,416,408,204, is 2.
Now, the common factors can be found like this.
230:2x 5x 23
416:2x 2x 2x 2x 2x 13
408:2x 2x 2x 3x 17
204:2x 2x 3x 17
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 2x 3x 17 = 1632
Therefore, the value for common factors is 1632.
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 = 7963637760/(2x1632)
LCM = 7963637760/3264
LCM = 2439840
Thus, we can understand that the LCM of 230,416,408,204 is 2439840.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 230, 416, 408, 204
1. What is the LCM of 230, 416, 408, 204?
Answer: LCM of 230, 416, 408, 204 is 2439840.
2. How to calculate the LCM of 230, 416, 408, 204?
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 230, 416, 408, 204.
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}.