Find the LCM of 328, 813, 381, 279, 104 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 328, 813, 381, 279, 104. So, keep reading to learn more.
Given numbers are 328,813,381,279,104
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 328,813,381,279,104 is 40944390552.
Find LCM of 328,813,381,279,104 with Prime Factorization
2 | 328, 813, 381, 279, 104 |
2 | 164, 813, 381, 279, 52 |
2 | 82, 813, 381, 279, 26 |
3 | 41, 813, 381, 279, 13 |
41, 271, 127, 93, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 41 x 271 x 127 x 93 x 13 = 40944390552
Therefore, the lowest common multiple of 328,813,381,279,104 is 40944390552.
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.
328 x 813 x 381 x 279 x 104 = 2947996119744
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.
328 : 1, 2, 4, 8, 41, 82, 164, 328
813 : 1, 3, 271, 813
381 : 1, 3, 127, 381
279 : 1, 3, 9, 31, 93, 279
104 : 1, 2, 4, 8, 13, 26, 52, 104
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 328,813,381,279,104, is 1.
Now, the common factors can be found like this.
328:2x 2x 2x 41
813:3x 271
381:3x 127
279:3x 3x 31
104:2x 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 3x 3 = 72
Therefore, the value for common factors is 72.
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 = 2947996119744/(1x72)
LCM = 2947996119744/72
LCM = 40944390552
Thus, we can understand that the LCM of 328,813,381,279,104 is 40944390552.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 328, 813, 381, 279, 104?
Answer: LCM of 328, 813, 381, 279, 104 is 40944390552.
2. How to calculate the LCM of 328, 813, 381, 279, 104?
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 328, 813, 381, 279, 104.
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}.