Find the LCM of 328, 405, 636, 768, 279 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 328, 405, 636, 768, 279. So, keep reading to learn more.
Given numbers are 328,405,636,768,279
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 328,405,636,768,279 is 6984195840.
Find LCM of 328,405,636,768,279 with Prime Factorization
2 | 328, 405, 636, 768, 279 |
2 | 164, 405, 318, 384, 279 |
2 | 82, 405, 159, 192, 279 |
3 | 41, 405, 159, 96, 279 |
3 | 41, 135, 53, 32, 93 |
41, 45, 53, 32, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 41 x 45 x 53 x 32 x 31 = 6984195840
Therefore, the lowest common multiple of 328,405,636,768,279 is 6984195840.
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.
328 x 405 x 636 x 768 x 279 = 18103035617280
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.
328 : 1, 2, 4, 8, 41, 82, 164, 328
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
279 : 1, 3, 9, 31, 93, 279
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 328,405,636,768,279, is 1.
Now, the common factors can be found like this.
328:2x 2x 2x 41
405:3x 3x 3x 3x 5
636:2x 2x 3x 53
768:2x 2x 2x 2x 2x 2x 2x 2x 3
279:3x 3x 31
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 3x 3x 3x 3 = 2592
Therefore, the value for common factors is 2592.
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 = 18103035617280/(1x2592)
LCM = 18103035617280/2592
LCM = 6984195840
Thus, we can understand that the LCM of 328,405,636,768,279 is 6984195840.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 328, 405, 636, 768, 279?
Answer: LCM of 328, 405, 636, 768, 279 is 6984195840.
2. How to calculate the LCM of 328, 405, 636, 768, 279?
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 328, 405, 636, 768, 279.
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}.