Find the LCM of 580, 974, 825, 341, 348 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 580, 974, 825, 341, 348. So, keep reading to learn more.
Given numbers are 580,974,825,341,348
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 580,974,825,341,348 is 1444782900.
Find LCM of 580,974,825,341,348 with Prime Factorization
2 | 580, 974, 825, 341, 348 |
2 | 290, 487, 825, 341, 174 |
3 | 145, 487, 825, 341, 87 |
5 | 145, 487, 275, 341, 29 |
11 | 29, 487, 55, 341, 29 |
29 | 29, 487, 5, 31, 29 |
1, 487, 5, 31, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 11 x 29 x 1 x 487 x 5 x 31 x 1 = 1444782900
Therefore, the lowest common multiple of 580,974,825,341,348 is 1444782900.
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.
580 x 974 x 825 x 341 x 348 = 55306289412000
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.
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
974 : 1, 2, 487, 974
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
341 : 1, 11, 31, 341
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 580,974,825,341,348, is 1.
Now, the common factors can be found like this.
580:2x 2x 5x 29
974:2x 487
825:3x 5x 5x 11
341:11x 31
348:2x 2x 3x 29
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 5x 11x 29 = 38280
Therefore, the value for common factors is 38280.
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 = 55306289412000/(1x38280)
LCM = 55306289412000/38280
LCM = 1444782900
Thus, we can understand that the LCM of 580,974,825,341,348 is 1444782900.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 580, 974, 825, 341, 348?
Answer: LCM of 580, 974, 825, 341, 348 is 1444782900.
2. How to calculate the LCM of 580, 974, 825, 341, 348?
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 580, 974, 825, 341, 348.
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}.