Find the LCM of 818, 320, 857, 989, 635 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 818, 320, 857, 989, 635. So, keep reading to learn more.
Given numbers are 818,320,857,989,635
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 818,320,857,989,635 is 14088154988480.
Find LCM of 818,320,857,989,635 with Prime Factorization
2 | 818, 320, 857, 989, 635 |
5 | 409, 160, 857, 989, 635 |
409, 32, 857, 989, 127 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 409 x 32 x 857 x 989 x 127 = 14088154988480
Therefore, the lowest common multiple of 818,320,857,989,635 is 14088154988480.
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.
818 x 320 x 857 x 989 x 635 = 140881549884800
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.
818 : 1, 2, 409, 818
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
857 : 1, 857
989 : 1, 23, 43, 989
635 : 1, 5, 127, 635
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 818,320,857,989,635, is 1.
Now, the common factors can be found like this.
818:2x 409
320:2x 2x 2x 2x 2x 2x 5
857:857
989:23x 43
635:5x 127
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5 = 10
Therefore, the value for common factors is 10.
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 = 140881549884800/(1x10)
LCM = 140881549884800/10
LCM = 14088154988480
Thus, we can understand that the LCM of 818,320,857,989,635 is 14088154988480.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 818, 320, 857, 989, 635?
Answer: LCM of 818, 320, 857, 989, 635 is 14088154988480.
2. How to calculate the LCM of 818, 320, 857, 989, 635?
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 818, 320, 857, 989, 635.
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}.