Find the LCM of 341, 642, 248, 248, 208 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 341, 642, 248, 248, 208. So, keep reading to learn more.
Given numbers are 341,642,248,248,208
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 341,642,248,248,208 is 22767888.
Find LCM of 341,642,248,248,208 with Prime Factorization
2 | 341, 642, 248, 248, 208 |
2 | 341, 321, 124, 124, 104 |
2 | 341, 321, 62, 62, 52 |
31 | 341, 321, 31, 31, 26 |
11, 321, 1, 1, 26 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 31 x 11 x 321 x 1 x 1 x 26 = 22767888
Therefore, the lowest common multiple of 341,642,248,248,208 is 22767888.
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.
341 x 642 x 248 x 248 x 208 = 2800632367104
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.
341 : 1, 11, 31, 341
642 : 1, 2, 3, 6, 107, 214, 321, 642
248 : 1, 2, 4, 8, 31, 62, 124, 248
248 : 1, 2, 4, 8, 31, 62, 124, 248
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 341,642,248,248,208, is 1.
Now, the common factors can be found like this.
341:11x 31
642:2x 3x 107
248:2x 2x 2x 31
248:2x 2x 2x 31
208:2x 2x 2x 2x 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 2x 2x 2x 2x 31x 31 = 123008
Therefore, the value for common factors is 123008.
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 = 2800632367104/(1x123008)
LCM = 2800632367104/123008
LCM = 22767888
Thus, we can understand that the LCM of 341,642,248,248,208 is 22767888.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 341, 642, 248, 248, 208?
Answer: LCM of 341, 642, 248, 248, 208 is 22767888.
2. How to calculate the LCM of 341, 642, 248, 248, 208?
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 341, 642, 248, 248, 208.
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}.