Find the LCM of 578, 270, 979, 713 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 578, 270, 979, 713. So, keep reading to learn more.
Given numbers are 578,270,979,713
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 578,270,979,713 is 54467046810.
Find LCM of 578,270,979,713 with Prime Factorization
2 | 578, 270, 979, 713 |
289, 135, 979, 713 |
Multiply the prime numbers at the bottom and the left side.
2 x 289 x 135 x 979 x 713 = 54467046810
Therefore, the lowest common multiple of 578,270,979,713 is 54467046810.
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.
578 x 270 x 979 x 713 = 108934093620
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.
578 : 1, 2, 17, 34, 289, 578
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
979 : 1, 11, 89, 979
713 : 1, 23, 31, 713
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,270,979,713, is 1.
Now, the common factors can be found like this.
578:2x 17x 17
270:2x 3x 3x 3x 5
979:11x 89
713:23x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 108934093620/(1x2)
LCM = 108934093620/2
LCM = 54467046810
Thus, we can understand that the LCM of 578,270,979,713 is 54467046810.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 578, 270, 979, 713?
Answer: LCM of 578, 270, 979, 713 is 54467046810.
2. How to calculate the LCM of 578, 270, 979, 713?
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 578, 270, 979, 713.
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}.