Find the LCM of 978, 812, 854, 394, 848 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, 812, 854, 394, 848. So, keep reading to learn more.
Given numbers are 978,812,854,394,848
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 978,812,854,394,848 is 1011572025072.
Find LCM of 978,812,854,394,848 with Prime Factorization
2 | 978, 812, 854, 394, 848 |
2 | 489, 406, 427, 197, 424 |
7 | 489, 203, 427, 197, 212 |
489, 29, 61, 197, 212 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 489 x 29 x 61 x 197 x 212 = 1011572025072
Therefore, the lowest common multiple of 978,812,854,394,848 is 1011572025072.
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 812 x 854 x 394 x 848 = 226592133616128
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
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
854 : 1, 2, 7, 14, 61, 122, 427, 854
394 : 1, 2, 197, 394
848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,812,854,394,848, is 2.
Now, the common factors can be found like this.
978:2x 3x 163
812:2x 2x 7x 29
854:2x 7x 61
394:2x 197
848:2x 2x 2x 2x 53
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 2x 7 = 112
Therefore, the value for common factors is 112.
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 = 226592133616128/(2x112)
LCM = 226592133616128/224
LCM = 1011572025072
Thus, we can understand that the LCM of 978,812,854,394,848 is 1011572025072.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 978, 812, 854, 394, 848?
Answer: LCM of 978, 812, 854, 394, 848 is 1011572025072.
2. How to calculate the LCM of 978, 812, 854, 394, 848?
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, 812, 854, 394, 848.
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}.