LCM of 317, 104, 351, 372
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 317, 104, 351, 372 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 317, 104, 351, 372. So, keep reading to learn more.
Given numbers are 317,104,351,372
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 317,104,351,372 is 27594216.
Find LCM of 317,104,351,372 with Prime Factorization
| 2 | 317, 104, 351, 372 |
| 2 | 317, 52, 351, 186 |
| 3 | 317, 26, 351, 93 |
| 13 | 317, 26, 117, 31 |
| 317, 2, 9, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 317 x 2 x 9 x 31 = 27594216
Therefore, the lowest common multiple of 317,104,351,372 is 27594216.
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.
317 x 104 x 351 x 372 = 4304697696
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.
317 : 1, 317
104 : 1, 2, 4, 8, 13, 26, 52, 104
351 : 1, 3, 9, 13, 27, 39, 117, 351
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 317,104,351,372, is 1.
Now, the common factors can be found like this.
317:317
104:2x 2x 2x 13
351:3x 3x 3x 13
372:2x 2x 3x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 13 = 156
Therefore, the value for common factors is 156.
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 = 4304697696/(1x156)
LCM = 4304697696/156
LCM = 27594216
Thus, we can understand that the LCM of 317,104,351,372 is 27594216.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 317, 104, 351, 372
1. What is the LCM of 317, 104, 351, 372?
Answer: LCM of 317, 104, 351, 372 is 27594216.
2. How to calculate the LCM of 317, 104, 351, 372?
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 317, 104, 351, 372.
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}.