Find the LCM of 289, 578, 951, 671, 116 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 289, 578, 951, 671, 116. So, keep reading to learn more.
Given numbers are 289,578,951,671,116
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 289,578,951,671,116 is 21392368404.
Find LCM of 289,578,951,671,116 with Prime Factorization
2 | 289, 578, 951, 671, 116 |
17 | 289, 289, 951, 671, 58 |
17 | 17, 17, 951, 671, 58 |
1, 1, 951, 671, 58 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 17 x 1 x 1 x 951 x 671 x 58 = 21392368404
Therefore, the lowest common multiple of 289,578,951,671,116 is 21392368404.
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.
289 x 578 x 951 x 671 x 116 = 12364788937512
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.
289 : 1, 17, 289
578 : 1, 2, 17, 34, 289, 578
951 : 1, 3, 317, 951
671 : 1, 11, 61, 671
116 : 1, 2, 4, 29, 58, 116
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 289,578,951,671,116, is 1.
Now, the common factors can be found like this.
289:17x 17
578:2x 17x 17
951:3x 317
671:11x 61
116:2x 2x 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 17x 17 = 578
Therefore, the value for common factors is 578.
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 = 12364788937512/(1x578)
LCM = 12364788937512/578
LCM = 21392368404
Thus, we can understand that the LCM of 289,578,951,671,116 is 21392368404.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 289, 578, 951, 671, 116?
Answer: LCM of 289, 578, 951, 671, 116 is 21392368404.
2. How to calculate the LCM of 289, 578, 951, 671, 116?
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 289, 578, 951, 671, 116.
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}.