Find the LCM of 867, 638, 319, 405, 768 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, 638, 319, 405, 768. So, keep reading to learn more.
Given numbers are 867,638,319,405,768
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 867,638,319,405,768 is 9558362880.
Find LCM of 867,638,319,405,768 with Prime Factorization
2 | 867, 638, 319, 405, 768 |
3 | 867, 319, 319, 405, 384 |
11 | 289, 319, 319, 135, 128 |
29 | 289, 29, 29, 135, 128 |
289, 1, 1, 135, 128 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 29 x 289 x 1 x 1 x 135 x 128 = 9558362880
Therefore, the lowest common multiple of 867,638,319,405,768 is 9558362880.
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 638 x 319 x 405 x 768 = 54884119656960
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
638 : 1, 2, 11, 22, 29, 58, 319, 638
319 : 1, 11, 29, 319
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 867,638,319,405,768, is 1.
Now, the common factors can be found like this.
867:3x 17x 17
638:2x 11x 29
319:11x 29
405:3x 3x 3x 3x 5
768:2x 2x 2x 2x 2x 2x 2x 2x 3
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 3x 11x 29 = 5742
Therefore, the value for common factors is 5742.
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 = 54884119656960/(1x5742)
LCM = 54884119656960/5742
LCM = 9558362880
Thus, we can understand that the LCM of 867,638,319,405,768 is 9558362880.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 867, 638, 319, 405, 768?
Answer: LCM of 867, 638, 319, 405, 768 is 9558362880.
2. How to calculate the LCM of 867, 638, 319, 405, 768?
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, 638, 319, 405, 768.
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}.