Find the LCM of 978, 381, 671, 991 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, 381, 671, 991. So, keep reading to learn more.
Given numbers are 978,381,671,991
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 978,381,671,991 is 82592145966.
Find LCM of 978,381,671,991 with Prime Factorization
| 3 | 978, 381, 671, 991 |
| 326, 127, 671, 991 |
Multiply the prime numbers at the bottom and the left side.
3 x 326 x 127 x 671 x 991 = 82592145966
Therefore, the lowest common multiple of 978,381,671,991 is 82592145966.
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 381 x 671 x 991 = 247776437898
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
381 : 1, 3, 127, 381
671 : 1, 11, 61, 671
991 : 1, 991
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,381,671,991, is 1.
Now, the common factors can be found like this.
978:2x 3x 163
381:3x 127
671:11x 61
991:991
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 247776437898/(1x3)
LCM = 247776437898/3
LCM = 82592145966
Thus, we can understand that the LCM of 978,381,671,991 is 82592145966.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 978, 381, 671, 991?
Answer: LCM of 978, 381, 671, 991 is 82592145966.
2. How to calculate the LCM of 978, 381, 671, 991?
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, 381, 671, 991.
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}.