Find the LCM of 407, 549, 709, 793, 989 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 407, 549, 709, 793, 989. So, keep reading to learn more.
Given numbers are 407,549,709,793,989
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 407,549,709,793,989 is 2036819915559.
Find LCM of 407,549,709,793,989 with Prime Factorization
61 | 407, 549, 709, 793, 989 |
407, 9, 709, 13, 989 |
Multiply the prime numbers at the bottom and the left side.
61 x 407 x 9 x 709 x 13 x 989 = 2036819915559
Therefore, the lowest common multiple of 407,549,709,793,989 is 2036819915559.
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.
407 x 549 x 709 x 793 x 989 = 124246014849099
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.
407 : 1, 11, 37, 407
549 : 1, 3, 9, 61, 183, 549
709 : 1, 709
793 : 1, 13, 61, 793
989 : 1, 23, 43, 989
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 407,549,709,793,989, is 1.
Now, the common factors can be found like this.
407:11x 37
549:3x 3x 61
709:709
793:13x 61
989:23x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
61 = 61
Therefore, the value for common factors is 61.
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 = 124246014849099/(1x61)
LCM = 124246014849099/61
LCM = 2036819915559
Thus, we can understand that the LCM of 407,549,709,793,989 is 2036819915559.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 407, 549, 709, 793, 989?
Answer: LCM of 407, 549, 709, 793, 989 is 2036819915559.
2. How to calculate the LCM of 407, 549, 709, 793, 989?
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 407, 549, 709, 793, 989.
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}.