Find the LCM of 589, 858, 881, 315, 728 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 589, 858, 881, 315, 728. So, keep reading to learn more.
Given numbers are 589,858,881,315,728
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 589,858,881,315,728 is 186994047240.
Find LCM of 589,858,881,315,728 with Prime Factorization
2 | 589, 858, 881, 315, 728 |
3 | 589, 429, 881, 315, 364 |
7 | 589, 143, 881, 105, 364 |
13 | 589, 143, 881, 15, 52 |
589, 11, 881, 15, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 13 x 589 x 11 x 881 x 15 x 4 = 186994047240
Therefore, the lowest common multiple of 589,858,881,315,728 is 186994047240.
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.
589 x 858 x 881 x 315 x 728 = 102098749793040
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.
589 : 1, 19, 31, 589
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
881 : 1, 881
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 589,858,881,315,728, is 1.
Now, the common factors can be found like this.
589:19x 31
858:2x 3x 11x 13
881:881
315:3x 3x 5x 7
728:2x 2x 2x 7x 13
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 7x 13 = 546
Therefore, the value for common factors is 546.
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 = 102098749793040/(1x546)
LCM = 102098749793040/546
LCM = 186994047240
Thus, we can understand that the LCM of 589,858,881,315,728 is 186994047240.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 589, 858, 881, 315, 728?
Answer: LCM of 589, 858, 881, 315, 728 is 186994047240.
2. How to calculate the LCM of 589, 858, 881, 315, 728?
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 589, 858, 881, 315, 728.
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}.