LCM of 957, 810, 671, 793
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 957, 810, 671, 793 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 957, 810, 671, 793. So, keep reading to learn more.
Given numbers are 957,810,671,793
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 957,810,671,793 is 204903270.
Find LCM of 957,810,671,793 with Prime Factorization
| 3 | 957, 810, 671, 793 |
| 11 | 319, 270, 671, 793 |
| 61 | 29, 270, 61, 793 |
| 29, 270, 1, 13 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 61 x 29 x 270 x 1 x 13 = 204903270
Therefore, the lowest common multiple of 957,810,671,793 is 204903270.
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.
957 x 810 x 671 x 793 = 412470282510
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.
957 : 1, 3, 11, 29, 33, 87, 319, 957
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
671 : 1, 11, 61, 671
793 : 1, 13, 61, 793
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 957,810,671,793, is 1.
Now, the common factors can be found like this.
957:3x 11x 29
810:2x 3x 3x 3x 3x 5
671:11x 61
793:13x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 11x 61 = 2013
Therefore, the value for common factors is 2013.
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 = 412470282510/(1x2013)
LCM = 412470282510/2013
LCM = 204903270
Thus, we can understand that the LCM of 957,810,671,793 is 204903270.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 957, 810, 671, 793
1. What is the LCM of 957, 810, 671, 793?
Answer: LCM of 957, 810, 671, 793 is 204903270.
2. How to calculate the LCM of 957, 810, 671, 793?
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 957, 810, 671, 793.
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}.