Find the LCM of 808, 646, 584, 867, 131 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 808, 646, 584, 867, 131. So, keep reading to learn more.
Given numbers are 808,646,584,867,131
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 808,646,584,867,131 is 127285289592.
Find LCM of 808,646,584,867,131 with Prime Factorization
2 | 808, 646, 584, 867, 131 |
2 | 404, 323, 292, 867, 131 |
2 | 202, 323, 146, 867, 131 |
17 | 101, 323, 73, 867, 131 |
101, 19, 73, 51, 131 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 17 x 101 x 19 x 73 x 51 x 131 = 127285289592
Therefore, the lowest common multiple of 808,646,584,867,131 is 127285289592.
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.
808 x 646 x 584 x 867 x 131 = 34621598769024
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.
808 : 1, 2, 4, 8, 101, 202, 404, 808
646 : 1, 2, 17, 19, 34, 38, 323, 646
584 : 1, 2, 4, 8, 73, 146, 292, 584
867 : 1, 3, 17, 51, 289, 867
131 : 1, 131
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 808,646,584,867,131, is 1.
Now, the common factors can be found like this.
808:2x 2x 2x 101
646:2x 17x 19
584:2x 2x 2x 73
867:3x 17x 17
131:131
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 2x 2x 17 = 272
Therefore, the value for common factors is 272.
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 = 34621598769024/(1x272)
LCM = 34621598769024/272
LCM = 127285289592
Thus, we can understand that the LCM of 808,646,584,867,131 is 127285289592.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 808, 646, 584, 867, 131?
Answer: LCM of 808, 646, 584, 867, 131 is 127285289592.
2. How to calculate the LCM of 808, 646, 584, 867, 131?
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 808, 646, 584, 867, 131.
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}.