Find the LCM of 116, 968, 578, 612, 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 116, 968, 578, 612, 584. So, keep reading to learn more.
Given numbers are 116,968,578,612,584
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 116,968,578,612,584 is 5330114856.
Find LCM of 116,968,578,612,584 with Prime Factorization
2 | 116, 968, 578, 612, 584 |
2 | 58, 484, 289, 306, 292 |
2 | 29, 242, 289, 153, 146 |
17 | 29, 121, 289, 153, 73 |
29, 121, 17, 9, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 17 x 29 x 121 x 17 x 9 x 73 = 5330114856
Therefore, the lowest common multiple of 116,968,578,612,584 is 5330114856.
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.
116 x 968 x 578 x 612 x 584 = 23196659853312
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.
116 : 1, 2, 4, 29, 58, 116
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
578 : 1, 2, 17, 34, 289, 578
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
584 : 1, 2, 4, 8, 73, 146, 292, 584
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 116,968,578,612,584, is 2.
Now, the common factors can be found like this.
116:2x 2x 29
968:2x 2x 2x 11x 11
578:2x 17x 17
612:2x 2x 3x 3x 17
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 2x 2x 2x 2x 2x 2x 17 = 2176
Therefore, the value for common factors is 2176.
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 = 23196659853312/(2x2176)
LCM = 23196659853312/4352
LCM = 5330114856
Thus, we can understand that the LCM of 116,968,578,612,584 is 5330114856.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 116, 968, 578, 612, 584?
Answer: LCM of 116, 968, 578, 612, 584 is 5330114856.
2. How to calculate the LCM of 116, 968, 578, 612, 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 116, 968, 578, 612, 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}.