Find the LCM of 464, 614, 845, 807, 687 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 464, 614, 845, 807, 687. So, keep reading to learn more.
Given numbers are 464,614,845,807,687
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 464,614,845,807,687 is 22244470993680.
Find LCM of 464,614,845,807,687 with Prime Factorization
2 | 464, 614, 845, 807, 687 |
3 | 232, 307, 845, 807, 687 |
232, 307, 845, 269, 229 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 232 x 307 x 845 x 269 x 229 = 22244470993680
Therefore, the lowest common multiple of 464,614,845,807,687 is 22244470993680.
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.
464 x 614 x 845 x 807 x 687 = 133466825962080
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.
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
614 : 1, 2, 307, 614
845 : 1, 5, 13, 65, 169, 845
807 : 1, 3, 269, 807
687 : 1, 3, 229, 687
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 464,614,845,807,687, is 1.
Now, the common factors can be found like this.
464:2x 2x 2x 2x 29
614:2x 307
845:5x 13x 13
807:3x 269
687:3x 229
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 133466825962080/(1x6)
LCM = 133466825962080/6
LCM = 22244470993680
Thus, we can understand that the LCM of 464,614,845,807,687 is 22244470993680.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 464, 614, 845, 807, 687?
Answer: LCM of 464, 614, 845, 807, 687 is 22244470993680.
2. How to calculate the LCM of 464, 614, 845, 807, 687?
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 464, 614, 845, 807, 687.
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}.