Find the LCM of 889, 855, 418, 885, 584 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 889, 855, 418, 885, 584. So, keep reading to learn more.
Given numbers are 889,855,418,885,584
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 889,855,418,885,584 is 288088166520.
Find LCM of 889,855,418,885,584 with Prime Factorization
2 | 889, 855, 418, 885, 584 |
3 | 889, 855, 209, 885, 292 |
5 | 889, 285, 209, 295, 292 |
19 | 889, 57, 209, 59, 292 |
889, 3, 11, 59, 292 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 19 x 889 x 3 x 11 x 59 x 292 = 288088166520
Therefore, the lowest common multiple of 889,855,418,885,584 is 288088166520.
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.
889 x 855 x 418 x 885 x 584 = 164210254916400
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.
889 : 1, 7, 127, 889
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
418 : 1, 2, 11, 19, 22, 38, 209, 418
885 : 1, 3, 5, 15, 59, 177, 295, 885
584 : 1, 2, 4, 8, 73, 146, 292, 584
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 889,855,418,885,584, is 1.
Now, the common factors can be found like this.
889:7x 127
855:3x 3x 5x 19
418:2x 11x 19
885:3x 5x 59
584:2x 2x 2x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 19 = 570
Therefore, the value for common factors is 570.
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 = 164210254916400/(1x570)
LCM = 164210254916400/570
LCM = 288088166520
Thus, we can understand that the LCM of 889,855,418,885,584 is 288088166520.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 889, 855, 418, 885, 584?
Answer: LCM of 889, 855, 418, 885, 584 is 288088166520.
2. How to calculate the LCM of 889, 855, 418, 885, 584?
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 889, 855, 418, 885, 584.
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}.