LCM of 337, 707, 140, 786, 831
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 337, 707, 140, 786, 831 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 337, 707, 140, 786, 831. So, keep reading to learn more.
Given numbers are 337,707,140,786,831
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 337,707,140,786,831 is 518742259980.
Find LCM of 337,707,140,786,831 with Prime Factorization
| 2 | 337, 707, 140, 786, 831 |
| 3 | 337, 707, 70, 393, 831 |
| 7 | 337, 707, 70, 131, 277 |
| 337, 101, 10, 131, 277 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 337 x 101 x 10 x 131 x 277 = 518742259980
Therefore, the lowest common multiple of 337,707,140,786,831 is 518742259980.
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.
337 x 707 x 140 x 786 x 831 = 21787174919160
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.
337 : 1, 337
707 : 1, 7, 101, 707
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
786 : 1, 2, 3, 6, 131, 262, 393, 786
831 : 1, 3, 277, 831
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 337,707,140,786,831, is 1.
Now, the common factors can be found like this.
337:337
707:7x 101
140:2x 2x 5x 7
786:2x 3x 131
831:3x 277
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 7 = 42
Therefore, the value for common factors is 42.
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 = 21787174919160/(1x42)
LCM = 21787174919160/42
LCM = 518742259980
Thus, we can understand that the LCM of 337,707,140,786,831 is 518742259980.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 337, 707, 140, 786, 831
1. What is the LCM of 337, 707, 140, 786, 831?
Answer: LCM of 337, 707, 140, 786, 831 is 518742259980.
2. How to calculate the LCM of 337, 707, 140, 786, 831?
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 337, 707, 140, 786, 831.
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}.