Find the LCM of 699, 786, 317, 131, 289 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 699, 786, 317, 131, 289. So, keep reading to learn more.
Given numbers are 699,786,317,131,289
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 699,786,317,131,289 is 16777821594.
Find LCM of 699,786,317,131,289 with Prime Factorization
3 | 699, 786, 317, 131, 289 |
131 | 233, 262, 317, 131, 289 |
233, 2, 317, 1, 289 |
Multiply the prime numbers at the bottom and the left side.
3 x 131 x 233 x 2 x 317 x 1 x 289 = 16777821594
Therefore, the lowest common multiple of 699,786,317,131,289 is 16777821594.
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.
699 x 786 x 317 x 131 x 289 = 6593683886442
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.
699 : 1, 3, 233, 699
786 : 1, 2, 3, 6, 131, 262, 393, 786
317 : 1, 317
131 : 1, 131
289 : 1, 17, 289
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 699,786,317,131,289, is 1.
Now, the common factors can be found like this.
699:3x 233
786:2x 3x 131
317:317
131:131
289:17x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 131 = 393
Therefore, the value for common factors is 393.
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 = 6593683886442/(1x393)
LCM = 6593683886442/393
LCM = 16777821594
Thus, we can understand that the LCM of 699,786,317,131,289 is 16777821594.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 699, 786, 317, 131, 289?
Answer: LCM of 699, 786, 317, 131, 289 is 16777821594.
2. How to calculate the LCM of 699, 786, 317, 131, 289?
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 699, 786, 317, 131, 289.
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}.