Find the LCM of 977, 441, 793, 455 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 977, 441, 793, 455. So, keep reading to learn more.
Given numbers are 977,441,793,455
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 977,441,793,455 is 1708348005.
Find LCM of 977,441,793,455 with Prime Factorization
7 | 977, 441, 793, 455 |
13 | 977, 63, 793, 65 |
977, 63, 61, 5 |
Multiply the prime numbers at the bottom and the left side.
7 x 13 x 977 x 63 x 61 x 5 = 1708348005
Therefore, the lowest common multiple of 977,441,793,455 is 1708348005.
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.
977 x 441 x 793 x 455 = 155459668455
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.
977 : 1, 977
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
793 : 1, 13, 61, 793
455 : 1, 5, 7, 13, 35, 65, 91, 455
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 977,441,793,455, is 1.
Now, the common factors can be found like this.
977:977
441:3x 3x 7x 7
793:13x 61
455:5x 7x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 13 = 91
Therefore, the value for common factors is 91.
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 = 155459668455/(1x91)
LCM = 155459668455/91
LCM = 1708348005
Thus, we can understand that the LCM of 977,441,793,455 is 1708348005.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 977, 441, 793, 455?
Answer: LCM of 977, 441, 793, 455 is 1708348005.
2. How to calculate the LCM of 977, 441, 793, 455?
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 977, 441, 793, 455.
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}.