Find the LCM of 963, 958, 667, 493 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 963, 958, 667, 493. So, keep reading to learn more.
Given numbers are 963,958,667,493
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 963,958,667,493 is 10460839806.
Find LCM of 963,958,667,493 with Prime Factorization
29 | 963, 958, 667, 493 |
963, 958, 23, 17 |
Multiply the prime numbers at the bottom and the left side.
29 x 963 x 958 x 23 x 17 = 10460839806
Therefore, the lowest common multiple of 963,958,667,493 is 10460839806.
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.
963 x 958 x 667 x 493 = 303364354374
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.
963 : 1, 3, 9, 107, 321, 963
958 : 1, 2, 479, 958
667 : 1, 23, 29, 667
493 : 1, 17, 29, 493
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 963,958,667,493, is 1.
Now, the common factors can be found like this.
963:3x 3x 107
958:2x 479
667:23x 29
493:17x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
29 = 29
Therefore, the value for common factors is 29.
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 = 303364354374/(1x29)
LCM = 303364354374/29
LCM = 10460839806
Thus, we can understand that the LCM of 963,958,667,493 is 10460839806.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 963, 958, 667, 493?
Answer: LCM of 963, 958, 667, 493 is 10460839806.
2. How to calculate the LCM of 963, 958, 667, 493?
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 963, 958, 667, 493.
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}.