Find the LCM of 685, 333, 311, 418, 555 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 685, 333, 311, 418, 555. So, keep reading to learn more.
Given numbers are 685,333,311,418,555
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 685,333,311,418,555 is 29653193790.
Find LCM of 685,333,311,418,555 with Prime Factorization
3 | 685, 333, 311, 418, 555 |
5 | 685, 111, 311, 418, 185 |
37 | 137, 111, 311, 418, 37 |
137, 3, 311, 418, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 37 x 137 x 3 x 311 x 418 x 1 = 29653193790
Therefore, the lowest common multiple of 685,333,311,418,555 is 29653193790.
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.
685 x 333 x 311 x 418 x 555 = 16457522553450
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.
685 : 1, 5, 137, 685
333 : 1, 3, 9, 37, 111, 333
311 : 1, 311
418 : 1, 2, 11, 19, 22, 38, 209, 418
555 : 1, 3, 5, 15, 37, 111, 185, 555
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 685,333,311,418,555, is 1.
Now, the common factors can be found like this.
685:5x 137
333:3x 3x 37
311:311
418:2x 11x 19
555:3x 5x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 37 = 555
Therefore, the value for common factors is 555.
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 = 16457522553450/(1x555)
LCM = 16457522553450/555
LCM = 29653193790
Thus, we can understand that the LCM of 685,333,311,418,555 is 29653193790.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 685, 333, 311, 418, 555?
Answer: LCM of 685, 333, 311, 418, 555 is 29653193790.
2. How to calculate the LCM of 685, 333, 311, 418, 555?
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 685, 333, 311, 418, 555.
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}.