Find the LCM of 418, 468, 380, 959, 273 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 418, 468, 380, 959, 273. So, keep reading to learn more.
Given numbers are 418,468,380,959,273
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 418,468,380,959,273 is 469008540.
Find LCM of 418,468,380,959,273 with Prime Factorization
2 | 418, 468, 380, 959, 273 |
2 | 209, 234, 190, 959, 273 |
3 | 209, 117, 95, 959, 273 |
7 | 209, 39, 95, 959, 91 |
13 | 209, 39, 95, 137, 13 |
19 | 209, 3, 95, 137, 1 |
11, 3, 5, 137, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 13 x 19 x 11 x 3 x 5 x 137 x 1 = 469008540
Therefore, the lowest common multiple of 418,468,380,959,273 is 469008540.
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.
418 x 468 x 380 x 959 x 273 = 19461978375840
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.
418 : 1, 2, 11, 19, 22, 38, 209, 418
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
959 : 1, 7, 137, 959
273 : 1, 3, 7, 13, 21, 39, 91, 273
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,468,380,959,273, is 1.
Now, the common factors can be found like this.
418:2x 11x 19
468:2x 2x 3x 3x 13
380:2x 2x 5x 19
959:7x 137
273:3x 7x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 3x 7x 13x 19 = 41496
Therefore, the value for common factors is 41496.
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 = 19461978375840/(1x41496)
LCM = 19461978375840/41496
LCM = 469008540
Thus, we can understand that the LCM of 418,468,380,959,273 is 469008540.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 418, 468, 380, 959, 273?
Answer: LCM of 418, 468, 380, 959, 273 is 469008540.
2. How to calculate the LCM of 418, 468, 380, 959, 273?
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 418, 468, 380, 959, 273.
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}.