Find the LCM of 107, 792, 813, 297, 387 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 107, 792, 813, 297, 387. So, keep reading to learn more.
Given numbers are 107,792,813,297,387
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 107,792,813,297,387 is 2962565496.
Find LCM of 107,792,813,297,387 with Prime Factorization
3 | 107, 792, 813, 297, 387 |
3 | 107, 264, 271, 99, 129 |
11 | 107, 88, 271, 33, 43 |
107, 8, 271, 3, 43 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 11 x 107 x 8 x 271 x 3 x 43 = 2962565496
Therefore, the lowest common multiple of 107,792,813,297,387 is 2962565496.
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.
107 x 792 x 813 x 297 x 387 = 7918937570808
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.
107 : 1, 107
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
813 : 1, 3, 271, 813
297 : 1, 3, 9, 11, 27, 33, 99, 297
387 : 1, 3, 9, 43, 129, 387
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,792,813,297,387, is 1.
Now, the common factors can be found like this.
107:107
792:2x 2x 2x 3x 3x 11
813:3x 271
297:3x 3x 3x 11
387:3x 3x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 3x 3x 11 = 2673
Therefore, the value for common factors is 2673.
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 = 7918937570808/(1x2673)
LCM = 7918937570808/2673
LCM = 2962565496
Thus, we can understand that the LCM of 107,792,813,297,387 is 2962565496.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 107, 792, 813, 297, 387?
Answer: LCM of 107, 792, 813, 297, 387 is 2962565496.
2. How to calculate the LCM of 107, 792, 813, 297, 387?
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 107, 792, 813, 297, 387.
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}.