Find the LCM of 169, 147, 857, 637, 317 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 169, 147, 857, 637, 317. So, keep reading to learn more.
Given numbers are 169,147,857,637,317
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 169,147,857,637,317 is 6749072967.
Find LCM of 169,147,857,637,317 with Prime Factorization
7 | 169, 147, 857, 637, 317 |
7 | 169, 21, 857, 91, 317 |
13 | 169, 3, 857, 13, 317 |
1, 3, 857, 13, 317 |
Multiply the prime numbers at the bottom and the left side.
7 x 7 x 13 x 1 x 3 x 857 x 13 x 317 = 6749072967
Therefore, the lowest common multiple of 169,147,857,637,317 is 6749072967.
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.
169 x 147 x 857 x 637 x 317 = 4299159479979
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.
169 : 1, 13, 169
147 : 1, 3, 7, 21, 49, 147
857 : 1, 857
637 : 1, 7, 13, 49, 91, 637
317 : 1, 317
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 169,147,857,637,317, is 1.
Now, the common factors can be found like this.
169:13x 13
147:3x 7x 7
857:857
637:7x 7x 13
317:317
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 7x 13 = 637
Therefore, the value for common factors is 637.
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 = 4299159479979/(1x637)
LCM = 4299159479979/637
LCM = 6749072967
Thus, we can understand that the LCM of 169,147,857,637,317 is 6749072967.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 169, 147, 857, 637, 317?
Answer: LCM of 169, 147, 857, 637, 317 is 6749072967.
2. How to calculate the LCM of 169, 147, 857, 637, 317?
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 169, 147, 857, 637, 317.
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}.