Find the LCM of 279, 591, 798, 555, 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 279, 591, 798, 555, 768. So, keep reading to learn more.
Given numbers are 279,591,798,555,768
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 279,591,798,555,768 is 346205341440.
Find LCM of 279,591,798,555,768 with Prime Factorization
2 | 279, 591, 798, 555, 768 |
3 | 279, 591, 399, 555, 384 |
93, 197, 133, 185, 128 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 93 x 197 x 133 x 185 x 128 = 346205341440
Therefore, the lowest common multiple of 279,591,798,555,768 is 346205341440.
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.
279 x 591 x 798 x 555 x 768 = 56085265313280
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.
279 : 1, 3, 9, 31, 93, 279
591 : 1, 3, 197, 591
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
555 : 1, 3, 5, 15, 37, 111, 185, 555
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 279,591,798,555,768, is 3.
Now, the common factors can be found like this.
279:3x 3x 31
591:3x 197
798:2x 3x 7x 19
555:3x 5x 37
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 3 = 54
Therefore, the value for common factors is 54.
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 = 56085265313280/(3x54)
LCM = 56085265313280/162
LCM = 346205341440
Thus, we can understand that the LCM of 279,591,798,555,768 is 346205341440.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 279, 591, 798, 555, 768?
Answer: LCM of 279, 591, 798, 555, 768 is 346205341440.
2. How to calculate the LCM of 279, 591, 798, 555, 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 279, 591, 798, 555, 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}.