Find the LCM of 674, 337, 317 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 674, 337, 317. So, keep reading to learn more.
Given numbers are 674,337,317
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 674,337,317 is 213658.
Find LCM of 674,337,317 with Prime Factorization
337 | 674, 337, 317 |
2, 1, 317 |
Multiply the prime numbers at the bottom and the left side.
337 x 2 x 1 x 317 = 213658
Therefore, the lowest common multiple of 674,337,317 is 213658.
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.
674 x 337 x 317 = 72002746
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.
674 : 1, 2, 337, 674
337 : 1, 337
317 : 1, 317
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 674,337,317, is 1.
Now, the common factors can be found like this.
674:2x 337
337:337
317:317
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
337 = 337
Therefore, the value for common factors is 337.
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 = 72002746/(1x337)
LCM = 72002746/337
LCM = 213658
Thus, we can understand that the LCM of 674,337,317 is 213658.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 674, 337, 317?
Answer: LCM of 674, 337, 317 is 213658.
2. How to calculate the LCM of 674, 337, 317?
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 674, 337, 317.
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}.