LCM of 415, 793, 590, 649, 209
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 415, 793, 590, 649, 209 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 415, 793, 590, 649, 209. So, keep reading to learn more.
Given numbers are 415,793,590,649,209
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 415,793,590,649,209 is 8116140890.
Find LCM of 415,793,590,649,209 with Prime Factorization
| 5 | 415, 793, 590, 649, 209 |
| 11 | 83, 793, 118, 649, 209 |
| 59 | 83, 793, 118, 59, 19 |
| 83, 793, 2, 1, 19 |
Multiply the prime numbers at the bottom and the left side.
5 x 11 x 59 x 83 x 793 x 2 x 1 x 19 = 8116140890
Therefore, the lowest common multiple of 415,793,590,649,209 is 8116140890.
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.
415 x 793 x 590 x 649 x 209 = 26336877188050
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.
415 : 1, 5, 83, 415
793 : 1, 13, 61, 793
590 : 1, 2, 5, 10, 59, 118, 295, 590
649 : 1, 11, 59, 649
209 : 1, 11, 19, 209
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 415,793,590,649,209, is 1.
Now, the common factors can be found like this.
415:5x 83
793:13x 61
590:2x 5x 59
649:11x 59
209:11x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 11x 59 = 3245
Therefore, the value for common factors is 3245.
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 = 26336877188050/(1x3245)
LCM = 26336877188050/3245
LCM = 8116140890
Thus, we can understand that the LCM of 415,793,590,649,209 is 8116140890.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 415, 793, 590, 649, 209
1. What is the LCM of 415, 793, 590, 649, 209?
Answer: LCM of 415, 793, 590, 649, 209 is 8116140890.
2. How to calculate the LCM of 415, 793, 590, 649, 209?
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 415, 793, 590, 649, 209.
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}.