Find the LCM of 979, 356, 593, 319 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 979, 356, 593, 319. So, keep reading to learn more.
Given numbers are 979,356,593,319
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 979,356,593,319 is 67343452.
Find LCM of 979,356,593,319 with Prime Factorization
11 | 979, 356, 593, 319 |
89 | 89, 356, 593, 29 |
1, 4, 593, 29 |
Multiply the prime numbers at the bottom and the left side.
11 x 89 x 1 x 4 x 593 x 29 = 67343452
Therefore, the lowest common multiple of 979,356,593,319 is 67343452.
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.
979 x 356 x 593 x 319 = 65929239508
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.
979 : 1, 11, 89, 979
356 : 1, 2, 4, 89, 178, 356
593 : 1, 593
319 : 1, 11, 29, 319
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 979,356,593,319, is 1.
Now, the common factors can be found like this.
979:11x 89
356:2x 2x 89
593:593
319:11x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 89 = 979
Therefore, the value for common factors is 979.
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 = 65929239508/(1x979)
LCM = 65929239508/979
LCM = 67343452
Thus, we can understand that the LCM of 979,356,593,319 is 67343452.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 979, 356, 593, 319?
Answer: LCM of 979, 356, 593, 319 is 67343452.
2. How to calculate the LCM of 979, 356, 593, 319?
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 979, 356, 593, 319.
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}.