Find the LCM of 878, 652, 718, 978 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 878, 652, 718, 978. So, keep reading to learn more.
Given numbers are 878,652,718,978
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 878,652,718,978 is 308267556.
Find LCM of 878,652,718,978 with Prime Factorization
| 2 | 878, 652, 718, 978 |
| 163 | 439, 326, 359, 489 |
| 439, 2, 359, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 163 x 439 x 2 x 359 x 3 = 308267556
Therefore, the lowest common multiple of 878,652,718,978 is 308267556.
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.
878 x 652 x 718 x 978 = 401980893024
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.
878 : 1, 2, 439, 878
652 : 1, 2, 4, 163, 326, 652
718 : 1, 2, 359, 718
978 : 1, 2, 3, 6, 163, 326, 489, 978
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 878,652,718,978, is 2.
Now, the common factors can be found like this.
878:2x 439
652:2x 2x 163
718:2x 359
978:2x 3x 163
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 163 = 652
Therefore, the value for common factors is 652.
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 = 401980893024/(2x652)
LCM = 401980893024/1304
LCM = 308267556
Thus, we can understand that the LCM of 878,652,718,978 is 308267556.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 878, 652, 718, 978?
Answer: LCM of 878, 652, 718, 978 is 308267556.
2. How to calculate the LCM of 878, 652, 718, 978?
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 878, 652, 718, 978.
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}.