Find the LCM of 867, 468, 330, 643 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 867, 468, 330, 643. So, keep reading to learn more.
Given numbers are 867,468,330,643
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 867,468,330,643 is 4783186980.
Find LCM of 867,468,330,643 with Prime Factorization
2 | 867, 468, 330, 643 |
3 | 867, 234, 165, 643 |
289, 78, 55, 643 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 289 x 78 x 55 x 643 = 4783186980
Therefore, the lowest common multiple of 867,468,330,643 is 4783186980.
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.
867 x 468 x 330 x 643 = 86097365640
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.
867 : 1, 3, 17, 51, 289, 867
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
643 : 1, 643
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 867,468,330,643, is 1.
Now, the common factors can be found like this.
867:3x 17x 17
468:2x 2x 3x 3x 13
330:2x 3x 5x 11
643:643
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3 = 18
Therefore, the value for common factors is 18.
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 = 86097365640/(1x18)
LCM = 86097365640/18
LCM = 4783186980
Thus, we can understand that the LCM of 867,468,330,643 is 4783186980.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 867, 468, 330, 643?
Answer: LCM of 867, 468, 330, 643 is 4783186980.
2. How to calculate the LCM of 867, 468, 330, 643?
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 867, 468, 330, 643.
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}.