Find the LCM of 348, 878, 310, 341, 261 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 348, 878, 310, 341, 261. So, keep reading to learn more.
Given numbers are 348,878,310,341,261
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 348,878,310,341,261 is 781428780.
Find LCM of 348,878,310,341,261 with Prime Factorization
2 | 348, 878, 310, 341, 261 |
3 | 174, 439, 155, 341, 261 |
29 | 58, 439, 155, 341, 87 |
31 | 2, 439, 155, 341, 3 |
2, 439, 5, 11, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 29 x 31 x 2 x 439 x 5 x 11 x 3 = 781428780
Therefore, the lowest common multiple of 348,878,310,341,261 is 781428780.
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.
348 x 878 x 310 x 341 x 261 = 8430053678640
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.
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
878 : 1, 2, 439, 878
310 : 1, 2, 5, 10, 31, 62, 155, 310
341 : 1, 11, 31, 341
261 : 1, 3, 9, 29, 87, 261
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 348,878,310,341,261, is 1.
Now, the common factors can be found like this.
348:2x 2x 3x 29
878:2x 439
310:2x 5x 31
341:11x 31
261:3x 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 3x 29x 31 = 10788
Therefore, the value for common factors is 10788.
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 = 8430053678640/(1x10788)
LCM = 8430053678640/10788
LCM = 781428780
Thus, we can understand that the LCM of 348,878,310,341,261 is 781428780.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 348, 878, 310, 341, 261?
Answer: LCM of 348, 878, 310, 341, 261 is 781428780.
2. How to calculate the LCM of 348, 878, 310, 341, 261?
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 348, 878, 310, 341, 261.
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}.