Find the LCM of 981, 614, 792, 307, 608 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 981, 614, 792, 307, 608. So, keep reading to learn more.
Given numbers are 981,614,792,307,608
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 981,614,792,307,608 is 2014204896.
Find LCM of 981,614,792,307,608 with Prime Factorization
2 | 981, 614, 792, 307, 608 |
2 | 981, 307, 396, 307, 304 |
2 | 981, 307, 198, 307, 152 |
3 | 981, 307, 99, 307, 76 |
3 | 327, 307, 33, 307, 76 |
307 | 109, 307, 11, 307, 76 |
109, 1, 11, 1, 76 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 307 x 109 x 1 x 11 x 1 x 76 = 2014204896
Therefore, the lowest common multiple of 981,614,792,307,608 is 2014204896.
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.
981 x 614 x 792 x 307 x 608 = 89043970042368
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.
981 : 1, 3, 9, 109, 327, 981
614 : 1, 2, 307, 614
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
307 : 1, 307
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 981,614,792,307,608, is 1.
Now, the common factors can be found like this.
981:3x 3x 109
614:2x 307
792:2x 2x 2x 3x 3x 11
307:307
608:2x 2x 2x 2x 2x 19
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 3x 3x 307 = 44208
Therefore, the value for common factors is 44208.
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 = 89043970042368/(1x44208)
LCM = 89043970042368/44208
LCM = 2014204896
Thus, we can understand that the LCM of 981,614,792,307,608 is 2014204896.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 981, 614, 792, 307, 608?
Answer: LCM of 981, 614, 792, 307, 608 is 2014204896.
2. How to calculate the LCM of 981, 614, 792, 307, 608?
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 981, 614, 792, 307, 608.
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}.