Find the LCM of 407, 845, 795, 814, 955 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, 845, 795, 814, 955. So, keep reading to learn more.
Given numbers are 407,845,795,814,955
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 407,845,795,814,955 is 20888709270.
Find LCM of 407,845,795,814,955 with Prime Factorization
5 | 407, 845, 795, 814, 955 |
11 | 407, 169, 159, 814, 191 |
37 | 37, 169, 159, 74, 191 |
1, 169, 159, 2, 191 |
Multiply the prime numbers at the bottom and the left side.
5 x 11 x 37 x 1 x 169 x 159 x 2 x 191 = 20888709270
Therefore, the lowest common multiple of 407,845,795,814,955 is 20888709270.
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 845 x 795 x 814 x 955 = 212542616822250
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
845 : 1, 5, 13, 65, 169, 845
795 : 1, 3, 5, 15, 53, 159, 265, 795
814 : 1, 2, 11, 22, 37, 74, 407, 814
955 : 1, 5, 191, 955
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 407,845,795,814,955, is 1.
Now, the common factors can be found like this.
407:11x 37
845:5x 13x 13
795:3x 5x 53
814:2x 11x 37
955:5x 191
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5x 11x 37 = 10175
Therefore, the value for common factors is 10175.
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 = 212542616822250/(1x10175)
LCM = 212542616822250/10175
LCM = 20888709270
Thus, we can understand that the LCM of 407,845,795,814,955 is 20888709270.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 407, 845, 795, 814, 955?
Answer: LCM of 407, 845, 795, 814, 955 is 20888709270.
2. How to calculate the LCM of 407, 845, 795, 814, 955?
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, 845, 795, 814, 955.
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}.