Find the LCM of 768, 209, 104, 864, 132 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 768, 209, 104, 864, 132. So, keep reading to learn more.
Given numbers are 768,209,104,864,132
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 768,209,104,864,132 is 18779904.
Find LCM of 768,209,104,864,132 with Prime Factorization
2 | 768, 209, 104, 864, 132 |
2 | 384, 209, 52, 432, 66 |
2 | 192, 209, 26, 216, 33 |
2 | 96, 209, 13, 108, 33 |
2 | 48, 209, 13, 54, 33 |
3 | 24, 209, 13, 27, 33 |
11 | 8, 209, 13, 9, 11 |
8, 19, 13, 9, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 11 x 8 x 19 x 13 x 9 x 1 = 18779904
Therefore, the lowest common multiple of 768,209,104,864,132 is 18779904.
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.
768 x 209 x 104 x 864 x 132 = 1903831547904
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.
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
209 : 1, 11, 19, 209
104 : 1, 2, 4, 8, 13, 26, 52, 104
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 768,209,104,864,132, is 1.
Now, the common factors can be found like this.
768:2x 2x 2x 2x 2x 2x 2x 2x 3
209:11x 19
104:2x 2x 2x 13
864:2x 2x 2x 2x 2x 3x 3x 3
132:2x 2x 3x 11
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 2x 2x 2x 2x 2x 3x 3x 11 = 101376
Therefore, the value for common factors is 101376.
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 = 1903831547904/(1x101376)
LCM = 1903831547904/101376
LCM = 18779904
Thus, we can understand that the LCM of 768,209,104,864,132 is 18779904.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 768, 209, 104, 864, 132?
Answer: LCM of 768, 209, 104, 864, 132 is 18779904.
2. How to calculate the LCM of 768, 209, 104, 864, 132?
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 768, 209, 104, 864, 132.
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}.