Find the LCM of 309, 531, 820, 712, 512 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, 531, 820, 712, 512. So, keep reading to learn more.
Given numbers are 309,531,820,712,512
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 309,531,820,712,512 is 510911377920.
Find LCM of 309,531,820,712,512 with Prime Factorization
2 | 309, 531, 820, 712, 512 |
2 | 309, 531, 410, 356, 256 |
2 | 309, 531, 205, 178, 128 |
3 | 309, 531, 205, 89, 64 |
103, 177, 205, 89, 64 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 103 x 177 x 205 x 89 x 64 = 510911377920
Therefore, the lowest common multiple of 309,531,820,712,512 is 510911377920.
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 531 x 820 x 712 x 512 = 49047492280320
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
531 : 1, 3, 9, 59, 177, 531
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
712 : 1, 2, 4, 8, 89, 178, 356, 712
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,531,820,712,512, is 1.
Now, the common factors can be found like this.
309:3x 103
531:3x 3x 59
820:2x 2x 5x 41
712:2x 2x 2x 89
512:2x 2x 2x 2x 2x 2x 2x 2x 2
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 3 = 96
Therefore, the value for common factors is 96.
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 = 49047492280320/(1x96)
LCM = 49047492280320/96
LCM = 510911377920
Thus, we can understand that the LCM of 309,531,820,712,512 is 510911377920.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 309, 531, 820, 712, 512?
Answer: LCM of 309, 531, 820, 712, 512 is 510911377920.
2. How to calculate the LCM of 309, 531, 820, 712, 512?
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, 531, 820, 712, 512.
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}.