Find the LCM of 317, 341, 145, 460, 698 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, 341, 145, 460, 698. So, keep reading to learn more.
Given numbers are 317,341,145,460,698
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 317,341,145,460,698 is 503262879020.
Find LCM of 317,341,145,460,698 with Prime Factorization
2 | 317, 341, 145, 460, 698 |
5 | 317, 341, 145, 230, 349 |
317, 341, 29, 46, 349 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 317 x 341 x 29 x 46 x 349 = 503262879020
Therefore, the lowest common multiple of 317,341,145,460,698 is 503262879020.
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 341 x 145 x 460 x 698 = 5032628790200
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
341 : 1, 11, 31, 341
145 : 1, 5, 29, 145
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
698 : 1, 2, 349, 698
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 317,341,145,460,698, is 1.
Now, the common factors can be found like this.
317:317
341:11x 31
145:5x 29
460:2x 2x 5x 23
698:2x 349
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5 = 10
Therefore, the value for common factors is 10.
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 = 5032628790200/(1x10)
LCM = 5032628790200/10
LCM = 503262879020
Thus, we can understand that the LCM of 317,341,145,460,698 is 503262879020.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 317, 341, 145, 460, 698?
Answer: LCM of 317, 341, 145, 460, 698 is 503262879020.
2. How to calculate the LCM of 317, 341, 145, 460, 698?
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, 341, 145, 460, 698.
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}.