LCM of 317, 716, 355, 994, 914
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 317, 716, 355, 994, 914 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, 716, 355, 994, 914. So, keep reading to learn more.
Given numbers are 317,716,355,994,914
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 317,716,355,994,914 is 257759616940.
Find LCM of 317,716,355,994,914 with Prime Factorization
| 2 | 317, 716, 355, 994, 914 |
| 71 | 317, 358, 355, 497, 457 |
| 317, 358, 5, 7, 457 |
Multiply the prime numbers at the bottom and the left side.
2 x 71 x 317 x 358 x 5 x 7 x 457 = 257759616940
Therefore, the lowest common multiple of 317,716,355,994,914 is 257759616940.
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 716 x 355 x 994 x 914 = 73203731210960
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
716 : 1, 2, 4, 179, 358, 716
355 : 1, 5, 71, 355
994 : 1, 2, 7, 14, 71, 142, 497, 994
914 : 1, 2, 457, 914
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 317,716,355,994,914, is 1.
Now, the common factors can be found like this.
317:317
716:2x 2x 179
355:5x 71
994:2x 7x 71
914:2x 457
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 71 = 284
Therefore, the value for common factors is 284.
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 = 73203731210960/(1x284)
LCM = 73203731210960/284
LCM = 257759616940
Thus, we can understand that the LCM of 317,716,355,994,914 is 257759616940.
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, 716, 355, 994, 914
1. What is the LCM of 317, 716, 355, 994, 914?
Answer: LCM of 317, 716, 355, 994, 914 is 257759616940.
2. How to calculate the LCM of 317, 716, 355, 994, 914?
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, 716, 355, 994, 914.
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}.