Find the LCM of 793, 317, 949, 316, 955 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 793, 317, 949, 316, 955. So, keep reading to learn more.
Given numbers are 793,317,949,316,955
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 793,317,949,316,955 is 5537908347140.
Find LCM of 793,317,949,316,955 with Prime Factorization
13 | 793, 317, 949, 316, 955 |
61, 317, 73, 316, 955 |
Multiply the prime numbers at the bottom and the left side.
13 x 61 x 317 x 73 x 316 x 955 = 5537908347140
Therefore, the lowest common multiple of 793,317,949,316,955 is 5537908347140.
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.
793 x 317 x 949 x 316 x 955 = 71992808512820
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.
793 : 1, 13, 61, 793
317 : 1, 317
949 : 1, 13, 73, 949
316 : 1, 2, 4, 79, 158, 316
955 : 1, 5, 191, 955
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 793,317,949,316,955, is 1.
Now, the common factors can be found like this.
793:13x 61
317:317
949:13x 73
316:2x 2x 79
955:5x 191
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 71992808512820/(1x13)
LCM = 71992808512820/13
LCM = 5537908347140
Thus, we can understand that the LCM of 793,317,949,316,955 is 5537908347140.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 793, 317, 949, 316, 955?
Answer: LCM of 793, 317, 949, 316, 955 is 5537908347140.
2. How to calculate the LCM of 793, 317, 949, 316, 955?
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 793, 317, 949, 316, 955.
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}.