LCM of 408, 204, 863, 414
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 408, 204, 863, 414 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 408, 204, 863, 414. So, keep reading to learn more.
Given numbers are 408,204,863,414
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 408,204,863,414 is 24295176.
Find LCM of 408,204,863,414 with Prime Factorization
| 2 | 408, 204, 863, 414 |
| 2 | 204, 102, 863, 207 |
| 3 | 51, 102, 863, 207 |
| 17 | 17, 34, 863, 69 |
| 1, 2, 863, 69 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 1 x 2 x 863 x 69 = 24295176
Therefore, the lowest common multiple of 408,204,863,414 is 24295176.
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.
408 x 204 x 863 x 414 = 29737295424
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.
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
863 : 1, 863
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 408,204,863,414, is 1.
Now, the common factors can be found like this.
408:2x 2x 2x 3x 17
204:2x 2x 3x 17
863:863
414:2x 3x 3x 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 3x 3x 17 = 1224
Therefore, the value for common factors is 1224.
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 = 29737295424/(1x1224)
LCM = 29737295424/1224
LCM = 24295176
Thus, we can understand that the LCM of 408,204,863,414 is 24295176.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 408, 204, 863, 414
1. What is the LCM of 408, 204, 863, 414?
Answer: LCM of 408, 204, 863, 414 is 24295176.
2. How to calculate the LCM of 408, 204, 863, 414?
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 408, 204, 863, 414.
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}.