Find the LCM of 678, 304, 797, 797, 572 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 678, 304, 797, 797, 572. So, keep reading to learn more.
Given numbers are 678,304,797,797,572
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 678,304,797,797,572 is 11745395376.
Find LCM of 678,304,797,797,572 with Prime Factorization
2 | 678, 304, 797, 797, 572 |
2 | 339, 152, 797, 797, 286 |
797 | 339, 76, 797, 797, 143 |
339, 76, 1, 1, 143 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 797 x 339 x 76 x 1 x 1 x 143 = 11745395376
Therefore, the lowest common multiple of 678,304,797,797,572 is 11745395376.
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.
678 x 304 x 797 x 797 x 572 = 74888640917376
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.
678 : 1, 2, 3, 6, 113, 226, 339, 678
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
797 : 1, 797
797 : 1, 797
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,304,797,797,572, is 1.
Now, the common factors can be found like this.
678:2x 3x 113
304:2x 2x 2x 2x 19
797:797
797:797
572:2x 2x 11x 13
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 797 = 6376
Therefore, the value for common factors is 6376.
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 = 74888640917376/(1x6376)
LCM = 74888640917376/6376
LCM = 11745395376
Thus, we can understand that the LCM of 678,304,797,797,572 is 11745395376.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 678, 304, 797, 797, 572?
Answer: LCM of 678, 304, 797, 797, 572 is 11745395376.
2. How to calculate the LCM of 678, 304, 797, 797, 572?
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 678, 304, 797, 797, 572.
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}.