Find the LCM of 313, 946, 939, 941 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, 946, 939, 941. So, keep reading to learn more.
Given numbers are 313,946,939,941
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 313,946,939,941 is 835884654.
Find LCM of 313,946,939,941 with Prime Factorization
313 | 313, 946, 939, 941 |
1, 946, 3, 941 |
Multiply the prime numbers at the bottom and the left side.
313 x 1 x 946 x 3 x 941 = 835884654
Therefore, the lowest common multiple of 313,946,939,941 is 835884654.
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 946 x 939 x 941 = 261631896702
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
946 : 1, 2, 11, 22, 43, 86, 473, 946
939 : 1, 3, 313, 939
941 : 1, 941
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 313,946,939,941, is 1.
Now, the common factors can be found like this.
313:313
946:2x 11x 43
939:3x 313
941:941
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
313 = 313
Therefore, the value for common factors is 313.
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 = 261631896702/(1x313)
LCM = 261631896702/313
LCM = 835884654
Thus, we can understand that the LCM of 313,946,939,941 is 835884654.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 313, 946, 939, 941?
Answer: LCM of 313, 946, 939, 941 is 835884654.
2. How to calculate the LCM of 313, 946, 939, 941?
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, 946, 939, 941.
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}.