Find the LCM of 309, 903, 849, 687, 497 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 309, 903, 849, 687, 497. So, keep reading to learn more.
Given numbers are 309,903,849,687,497
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 309,903,849,687,497 is 427962032673.
Find LCM of 309,903,849,687,497 with Prime Factorization
3 | 309, 903, 849, 687, 497 |
7 | 103, 301, 283, 229, 497 |
103, 43, 283, 229, 71 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 103 x 43 x 283 x 229 x 71 = 427962032673
Therefore, the lowest common multiple of 309,903,849,687,497 is 427962032673.
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.
309 x 903 x 849 x 687 x 497 = 80884824175197
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.
309 : 1, 3, 103, 309
903 : 1, 3, 7, 21, 43, 129, 301, 903
849 : 1, 3, 283, 849
687 : 1, 3, 229, 687
497 : 1, 7, 71, 497
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,903,849,687,497, is 1.
Now, the common factors can be found like this.
309:3x 103
903:3x 7x 43
849:3x 283
687:3x 229
497:7x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 7 = 189
Therefore, the value for common factors is 189.
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 = 80884824175197/(1x189)
LCM = 80884824175197/189
LCM = 427962032673
Thus, we can understand that the LCM of 309,903,849,687,497 is 427962032673.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 309, 903, 849, 687, 497?
Answer: LCM of 309, 903, 849, 687, 497 is 427962032673.
2. How to calculate the LCM of 309, 903, 849, 687, 497?
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 309, 903, 849, 687, 497.
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}.