LCM of 426, 904, 360, 815, 934
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 426, 904, 360, 815, 934 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 426, 904, 360, 815, 934. So, keep reading to learn more.
Given numbers are 426,904,360,815,934
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 426,904,360,815,934 is 219858761880.
Find LCM of 426,904,360,815,934 with Prime Factorization
| 2 | 426, 904, 360, 815, 934 |
| 2 | 213, 452, 180, 815, 467 |
| 2 | 213, 226, 90, 815, 467 |
| 3 | 213, 113, 45, 815, 467 |
| 5 | 71, 113, 15, 815, 467 |
| 71, 113, 3, 163, 467 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 71 x 113 x 3 x 163 x 467 = 219858761880
Therefore, the lowest common multiple of 426,904,360,815,934 is 219858761880.
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.
426 x 904 x 360 x 815 x 934 = 105532205702400
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.
426 : 1, 2, 3, 6, 71, 142, 213, 426
904 : 1, 2, 4, 8, 113, 226, 452, 904
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
815 : 1, 5, 163, 815
934 : 1, 2, 467, 934
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 426,904,360,815,934, is 1.
Now, the common factors can be found like this.
426:2x 3x 71
904:2x 2x 2x 113
360:2x 2x 2x 3x 3x 5
815:5x 163
934:2x 467
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 2x 2x 3x 5 = 480
Therefore, the value for common factors is 480.
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 = 105532205702400/(1x480)
LCM = 105532205702400/480
LCM = 219858761880
Thus, we can understand that the LCM of 426,904,360,815,934 is 219858761880.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 426, 904, 360, 815, 934
1. What is the LCM of 426, 904, 360, 815, 934?
Answer: LCM of 426, 904, 360, 815, 934 is 219858761880.
2. How to calculate the LCM of 426, 904, 360, 815, 934?
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 426, 904, 360, 815, 934.
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}.