Find the LCM of 309, 468, 703, 228, 766 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 309, 468, 703, 228, 766. So, keep reading to learn more.
Given numbers are 309,468,703,228,766
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 309,468,703,228,766 is 12978878796.
Find LCM of 309,468,703,228,766 with Prime Factorization
2 | 309, 468, 703, 228, 766 |
2 | 309, 234, 703, 114, 383 |
3 | 309, 117, 703, 57, 383 |
19 | 103, 39, 703, 19, 383 |
103, 39, 37, 1, 383 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 19 x 103 x 39 x 37 x 1 x 383 = 12978878796
Therefore, the lowest common multiple of 309,468,703,228,766 is 12978878796.
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.
309 x 468 x 703 x 228 x 766 = 17755106192928
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.
309 : 1, 3, 103, 309
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
703 : 1, 19, 37, 703
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
766 : 1, 2, 383, 766
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,468,703,228,766, is 1.
Now, the common factors can be found like this.
309:3x 103
468:2x 2x 3x 3x 13
703:19x 37
228:2x 2x 3x 19
766:2x 383
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 3x 19 = 1368
Therefore, the value for common factors is 1368.
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 = 17755106192928/(1x1368)
LCM = 17755106192928/1368
LCM = 12978878796
Thus, we can understand that the LCM of 309,468,703,228,766 is 12978878796.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 309, 468, 703, 228, 766?
Answer: LCM of 309, 468, 703, 228, 766 is 12978878796.
2. How to calculate the LCM of 309, 468, 703, 228, 766?
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 309, 468, 703, 228, 766.
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}.