Find the LCM of 313, 299, 481, 988, 991 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 313, 299, 481, 988, 991. So, keep reading to learn more.
Given numbers are 313,299,481,988,991
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 313,299,481,988,991 is 260798144204.
Find LCM of 313,299,481,988,991 with Prime Factorization
13 | 313, 299, 481, 988, 991 |
313, 23, 37, 76, 991 |
Multiply the prime numbers at the bottom and the left side.
13 x 313 x 23 x 37 x 76 x 991 = 260798144204
Therefore, the lowest common multiple of 313,299,481,988,991 is 260798144204.
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.
313 x 299 x 481 x 988 x 991 = 44074886370476
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.
313 : 1, 313
299 : 1, 13, 23, 299
481 : 1, 13, 37, 481
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
991 : 1, 991
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 313,299,481,988,991, is 1.
Now, the common factors can be found like this.
313:313
299:13x 23
481:13x 37
988:2x 2x 13x 19
991:991
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 13 = 169
Therefore, the value for common factors is 169.
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 = 44074886370476/(1x169)
LCM = 44074886370476/169
LCM = 260798144204
Thus, we can understand that the LCM of 313,299,481,988,991 is 260798144204.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 313, 299, 481, 988, 991?
Answer: LCM of 313, 299, 481, 988, 991 is 260798144204.
2. How to calculate the LCM of 313, 299, 481, 988, 991?
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 313, 299, 481, 988, 991.
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}.