Find the LCM of 133, 323, 919, 992, 315 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 133, 323, 919, 992, 315. So, keep reading to learn more.
Given numbers are 133,323,919,992,315
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 133,323,919,992,315 is 92755625760.
Find LCM of 133,323,919,992,315 with Prime Factorization
7 | 133, 323, 919, 992, 315 |
19 | 19, 323, 919, 992, 45 |
1, 17, 919, 992, 45 |
Multiply the prime numbers at the bottom and the left side.
7 x 19 x 1 x 17 x 919 x 992 x 45 = 92755625760
Therefore, the lowest common multiple of 133,323,919,992,315 is 92755625760.
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.
133 x 323 x 919 x 992 x 315 = 12336498226080
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.
133 : 1, 7, 19, 133
323 : 1, 17, 19, 323
919 : 1, 919
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 133,323,919,992,315, is 1.
Now, the common factors can be found like this.
133:7x 19
323:17x 19
919:919
992:2x 2x 2x 2x 2x 31
315:3x 3x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 19 = 133
Therefore, the value for common factors is 133.
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 = 12336498226080/(1x133)
LCM = 12336498226080/133
LCM = 92755625760
Thus, we can understand that the LCM of 133,323,919,992,315 is 92755625760.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 133, 323, 919, 992, 315?
Answer: LCM of 133, 323, 919, 992, 315 is 92755625760.
2. How to calculate the LCM of 133, 323, 919, 992, 315?
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 133, 323, 919, 992, 315.
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}.