Find the LCM of 795, 139, 361, 551, 919 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 795, 139, 361, 551, 919. So, keep reading to learn more.
Given numbers are 795,139,361,551,919
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 795,139,361,551,919 is 1063169820555.
Find LCM of 795,139,361,551,919 with Prime Factorization
19 | 795, 139, 361, 551, 919 |
795, 139, 19, 29, 919 |
Multiply the prime numbers at the bottom and the left side.
19 x 795 x 139 x 19 x 29 x 919 = 1063169820555
Therefore, the lowest common multiple of 795,139,361,551,919 is 1063169820555.
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.
795 x 139 x 361 x 551 x 919 = 20200226590545
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.
795 : 1, 3, 5, 15, 53, 159, 265, 795
139 : 1, 139
361 : 1, 19, 361
551 : 1, 19, 29, 551
919 : 1, 919
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 795,139,361,551,919, is 1.
Now, the common factors can be found like this.
795:3x 5x 53
139:139
361:19x 19
551:19x 29
919:919
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
19 = 19
Therefore, the value for common factors is 19.
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 = 20200226590545/(1x19)
LCM = 20200226590545/19
LCM = 1063169820555
Thus, we can understand that the LCM of 795,139,361,551,919 is 1063169820555.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 795, 139, 361, 551, 919?
Answer: LCM of 795, 139, 361, 551, 919 is 1063169820555.
2. How to calculate the LCM of 795, 139, 361, 551, 919?
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 795, 139, 361, 551, 919.
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}.