LCM of 433, 858, 450, 406, 814
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 433, 858, 450, 406, 814 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 433, 858, 450, 406, 814. So, keep reading to learn more.
Given numbers are 433,858,450,406,814
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 433,858,450,406,814 is 209283124050.
Find LCM of 433,858,450,406,814 with Prime Factorization
| 2 | 433, 858, 450, 406, 814 |
| 3 | 433, 429, 225, 203, 407 |
| 11 | 433, 143, 75, 203, 407 |
| 433, 13, 75, 203, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 433 x 13 x 75 x 203 x 37 = 209283124050
Therefore, the lowest common multiple of 433,858,450,406,814 is 209283124050.
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.
433 x 858 x 450 x 406 x 814 = 55250744749200
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.
433 : 1, 433
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
406 : 1, 2, 7, 14, 29, 58, 203, 406
814 : 1, 2, 11, 22, 37, 74, 407, 814
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 433,858,450,406,814, is 1.
Now, the common factors can be found like this.
433:433
858:2x 3x 11x 13
450:2x 3x 3x 5x 5
406:2x 7x 29
814:2x 11x 37
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 11 = 264
Therefore, the value for common factors is 264.
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 = 55250744749200/(1x264)
LCM = 55250744749200/264
LCM = 209283124050
Thus, we can understand that the LCM of 433,858,450,406,814 is 209283124050.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 433, 858, 450, 406, 814
1. What is the LCM of 433, 858, 450, 406, 814?
Answer: LCM of 433, 858, 450, 406, 814 is 209283124050.
2. How to calculate the LCM of 433, 858, 450, 406, 814?
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 433, 858, 450, 406, 814.
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}.