Find the LCM of 879, 551, 712, 534, 870 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, 551, 712, 534, 870. So, keep reading to learn more.
Given numbers are 879,551,712,534,870
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 879,551,712,534,870 is 1724211240.
Find LCM of 879,551,712,534,870 with Prime Factorization
2 | 879, 551, 712, 534, 870 |
3 | 879, 551, 356, 267, 435 |
29 | 293, 551, 356, 89, 145 |
89 | 293, 19, 356, 89, 5 |
293, 19, 4, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 29 x 89 x 293 x 19 x 4 x 1 x 5 = 1724211240
Therefore, the lowest common multiple of 879,551,712,534,870 is 1724211240.
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 551 x 712 x 534 x 870 = 160206811575840
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
551 : 1, 19, 29, 551
712 : 1, 2, 4, 8, 89, 178, 356, 712
534 : 1, 2, 3, 6, 89, 178, 267, 534
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 879,551,712,534,870, is 1.
Now, the common factors can be found like this.
879:3x 293
551:19x 29
712:2x 2x 2x 89
534:2x 3x 89
870:2x 3x 5x 29
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 3x 3x 29x 89 = 92916
Therefore, the value for common factors is 92916.
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 = 160206811575840/(1x92916)
LCM = 160206811575840/92916
LCM = 1724211240
Thus, we can understand that the LCM of 879,551,712,534,870 is 1724211240.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 879, 551, 712, 534, 870?
Answer: LCM of 879, 551, 712, 534, 870 is 1724211240.
2. How to calculate the LCM of 879, 551, 712, 534, 870?
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, 551, 712, 534, 870.
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}.