LCM of 857, 123, 339, 451
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 857, 123, 339, 451 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 857, 123, 339, 451. So, keep reading to learn more.
Given numbers are 857,123,339,451
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 857,123,339,451 is 131025873.
Find LCM of 857,123,339,451 with Prime Factorization
| 3 | 857, 123, 339, 451 |
| 41 | 857, 41, 113, 451 |
| 857, 1, 113, 11 |
Multiply the prime numbers at the bottom and the left side.
3 x 41 x 857 x 1 x 113 x 11 = 131025873
Therefore, the lowest common multiple of 857,123,339,451 is 131025873.
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.
857 x 123 x 339 x 451 = 16116182379
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.
857 : 1, 857
123 : 1, 3, 41, 123
339 : 1, 3, 113, 339
451 : 1, 11, 41, 451
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 857,123,339,451, is 1.
Now, the common factors can be found like this.
857:857
123:3x 41
339:3x 113
451:11x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 41 = 123
Therefore, the value for common factors is 123.
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 = 16116182379/(1x123)
LCM = 16116182379/123
LCM = 131025873
Thus, we can understand that the LCM of 857,123,339,451 is 131025873.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 857, 123, 339, 451
1. What is the LCM of 857, 123, 339, 451?
Answer: LCM of 857, 123, 339, 451 is 131025873.
2. How to calculate the LCM of 857, 123, 339, 451?
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 857, 123, 339, 451.
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}.