Find the LCM of 978, 847, 163, 517 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 978, 847, 163, 517. So, keep reading to learn more.
Given numbers are 978,847,163,517
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 978,847,163,517 is 38933202.
Find LCM of 978,847,163,517 with Prime Factorization
11 | 978, 847, 163, 517 |
163 | 978, 77, 163, 47 |
6, 77, 1, 47 |
Multiply the prime numbers at the bottom and the left side.
11 x 163 x 6 x 77 x 1 x 47 = 38933202
Therefore, the lowest common multiple of 978,847,163,517 is 38933202.
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.
978 x 847 x 163 x 517 = 69807231186
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.
978 : 1, 2, 3, 6, 163, 326, 489, 978
847 : 1, 7, 11, 77, 121, 847
163 : 1, 163
517 : 1, 11, 47, 517
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,847,163,517, is 1.
Now, the common factors can be found like this.
978:2x 3x 163
847:7x 11x 11
163:163
517:11x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 163 = 1793
Therefore, the value for common factors is 1793.
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 = 69807231186/(1x1793)
LCM = 69807231186/1793
LCM = 38933202
Thus, we can understand that the LCM of 978,847,163,517 is 38933202.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 978, 847, 163, 517?
Answer: LCM of 978, 847, 163, 517 is 38933202.
2. How to calculate the LCM of 978, 847, 163, 517?
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 978, 847, 163, 517.
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}.