Find the LCM of 879, 974, 726, 568, 383 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 879, 974, 726, 568, 383. So, keep reading to learn more.
Given numbers are 879,974,726,568,383
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 879,974,726,568,383 is 11268090238152.
Find LCM of 879,974,726,568,383 with Prime Factorization
2 | 879, 974, 726, 568, 383 |
3 | 879, 487, 363, 284, 383 |
293, 487, 121, 284, 383 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 293 x 487 x 121 x 284 x 383 = 11268090238152
Therefore, the lowest common multiple of 879,974,726,568,383 is 11268090238152.
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.
879 x 974 x 726 x 568 x 383 = 135217082857824
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.
879 : 1, 3, 293, 879
974 : 1, 2, 487, 974
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
568 : 1, 2, 4, 8, 71, 142, 284, 568
383 : 1, 383
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 879,974,726,568,383, is 1.
Now, the common factors can be found like this.
879:3x 293
974:2x 487
726:2x 3x 11x 11
568:2x 2x 2x 71
383:383
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3 = 12
Therefore, the value for common factors is 12.
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 = 135217082857824/(1x12)
LCM = 135217082857824/12
LCM = 11268090238152
Thus, we can understand that the LCM of 879,974,726,568,383 is 11268090238152.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 879, 974, 726, 568, 383?
Answer: LCM of 879, 974, 726, 568, 383 is 11268090238152.
2. How to calculate the LCM of 879, 974, 726, 568, 383?
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 879, 974, 726, 568, 383.
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}.