LCM of 373, 205, 682, 287, 814
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 373, 205, 682, 287, 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 373, 205, 682, 287, 814. So, keep reading to learn more.
Given numbers are 373,205,682,287,814
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 373,205,682,287,814 is 13506624670.
Find LCM of 373,205,682,287,814 with Prime Factorization
| 2 | 373, 205, 682, 287, 814 |
| 11 | 373, 205, 341, 287, 407 |
| 41 | 373, 205, 31, 287, 37 |
| 373, 5, 31, 7, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 41 x 373 x 5 x 31 x 7 x 37 = 13506624670
Therefore, the lowest common multiple of 373,205,682,287,814 is 13506624670.
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.
373 x 205 x 682 x 287 x 814 = 12182975452340
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.
373 : 1, 373
205 : 1, 5, 41, 205
682 : 1, 2, 11, 22, 31, 62, 341, 682
287 : 1, 7, 41, 287
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 373,205,682,287,814, is 1.
Now, the common factors can be found like this.
373:373
205:5x 41
682:2x 11x 31
287:7x 41
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 11x 41 = 902
Therefore, the value for common factors is 902.
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 = 12182975452340/(1x902)
LCM = 12182975452340/902
LCM = 13506624670
Thus, we can understand that the LCM of 373,205,682,287,814 is 13506624670.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 373, 205, 682, 287, 814
1. What is the LCM of 373, 205, 682, 287, 814?
Answer: LCM of 373, 205, 682, 287, 814 is 13506624670.
2. How to calculate the LCM of 373, 205, 682, 287, 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 373, 205, 682, 287, 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}.