LCM of 345, 687, 113, 910, 455
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 345, 687, 113, 910, 455 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 345, 687, 113, 910, 455. So, keep reading to learn more.
Given numbers are 345,687,113,910,455
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 345,687,113,910,455 is 1624816830.
Find LCM of 345,687,113,910,455 with Prime Factorization
| 3 | 345, 687, 113, 910, 455 |
| 5 | 115, 229, 113, 910, 455 |
| 7 | 23, 229, 113, 182, 91 |
| 13 | 23, 229, 113, 26, 13 |
| 23, 229, 113, 2, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 13 x 23 x 229 x 113 x 2 x 1 = 1624816830
Therefore, the lowest common multiple of 345,687,113,910,455 is 1624816830.
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.
345 x 687 x 113 x 910 x 455 = 11089374864750
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.
345 : 1, 3, 5, 15, 23, 69, 115, 345
687 : 1, 3, 229, 687
113 : 1, 113
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
455 : 1, 5, 7, 13, 35, 65, 91, 455
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 345,687,113,910,455, is 1.
Now, the common factors can be found like this.
345:3x 5x 23
687:3x 229
113:113
910:2x 5x 7x 13
455:5x 7x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 5x 7x 13 = 6825
Therefore, the value for common factors is 6825.
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 = 11089374864750/(1x6825)
LCM = 11089374864750/6825
LCM = 1624816830
Thus, we can understand that the LCM of 345,687,113,910,455 is 1624816830.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 345, 687, 113, 910, 455
1. What is the LCM of 345, 687, 113, 910, 455?
Answer: LCM of 345, 687, 113, 910, 455 is 1624816830.
2. How to calculate the LCM of 345, 687, 113, 910, 455?
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 345, 687, 113, 910, 455.
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}.