Find the LCM of 491, 484, 703, 589, 627 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 491, 484, 703, 589, 627. So, keep reading to learn more.
Given numbers are 491,484,703,589,627
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 491,484,703,589,627 is 15536927076.
Find LCM of 491,484,703,589,627 with Prime Factorization
11 | 491, 484, 703, 589, 627 |
19 | 491, 44, 703, 589, 57 |
491, 44, 37, 31, 3 |
Multiply the prime numbers at the bottom and the left side.
11 x 19 x 491 x 44 x 37 x 31 x 3 = 15536927076
Therefore, the lowest common multiple of 491,484,703,589,627 is 15536927076.
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.
491 x 484 x 703 x 589 x 627 = 61697137418796
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.
491 : 1, 491
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
703 : 1, 19, 37, 703
589 : 1, 19, 31, 589
627 : 1, 3, 11, 19, 33, 57, 209, 627
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 491,484,703,589,627, is 1.
Now, the common factors can be found like this.
491:491
484:2x 2x 11x 11
703:19x 37
589:19x 31
627:3x 11x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 19x 19 = 3971
Therefore, the value for common factors is 3971.
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 = 61697137418796/(1x3971)
LCM = 61697137418796/3971
LCM = 15536927076
Thus, we can understand that the LCM of 491,484,703,589,627 is 15536927076.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 491, 484, 703, 589, 627?
Answer: LCM of 491, 484, 703, 589, 627 is 15536927076.
2. How to calculate the LCM of 491, 484, 703, 589, 627?
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 491, 484, 703, 589, 627.
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}.