Find the LCM of 296, 979, 267, 799 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 296, 979, 267, 799. So, keep reading to learn more.
Given numbers are 296,979,267,799
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 296,979,267,799 is 694612248.
Find LCM of 296,979,267,799 with Prime Factorization
89 | 296, 979, 267, 799 |
296, 11, 3, 799 |
Multiply the prime numbers at the bottom and the left side.
89 x 296 x 11 x 3 x 799 = 694612248
Therefore, the lowest common multiple of 296,979,267,799 is 694612248.
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.
296 x 979 x 267 x 799 = 61820490072
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.
296 : 1, 2, 4, 8, 37, 74, 148, 296
979 : 1, 11, 89, 979
267 : 1, 3, 89, 267
799 : 1, 17, 47, 799
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 296,979,267,799, is 1.
Now, the common factors can be found like this.
296:2x 2x 2x 37
979:11x 89
267:3x 89
799:17x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
89 = 89
Therefore, the value for common factors is 89.
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 = 61820490072/(1x89)
LCM = 61820490072/89
LCM = 694612248
Thus, we can understand that the LCM of 296,979,267,799 is 694612248.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 296, 979, 267, 799?
Answer: LCM of 296, 979, 267, 799 is 694612248.
2. How to calculate the LCM of 296, 979, 267, 799?
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 296, 979, 267, 799.
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}.