Find the LCM of 614, 849, 849, 861 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 614, 849, 849, 861. So, keep reading to learn more.
Given numbers are 614,849,849,861
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 614,849,849,861 is 149609082.
Find LCM of 614,849,849,861 with Prime Factorization
3 | 614, 849, 849, 861 |
283 | 614, 283, 283, 287 |
614, 1, 1, 287 |
Multiply the prime numbers at the bottom and the left side.
3 x 283 x 614 x 1 x 1 x 287 = 149609082
Therefore, the lowest common multiple of 614,849,849,861 is 149609082.
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.
614 x 849 x 849 x 861 = 381054331854
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.
614 : 1, 2, 307, 614
849 : 1, 3, 283, 849
849 : 1, 3, 283, 849
861 : 1, 3, 7, 21, 41, 123, 287, 861
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 614,849,849,861, is 1.
Now, the common factors can be found like this.
614:2x 307
849:3x 283
849:3x 283
861:3x 7x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 283 = 2547
Therefore, the value for common factors is 2547.
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 = 381054331854/(1x2547)
LCM = 381054331854/2547
LCM = 149609082
Thus, we can understand that the LCM of 614,849,849,861 is 149609082.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 614, 849, 849, 861?
Answer: LCM of 614, 849, 849, 861 is 149609082.
2. How to calculate the LCM of 614, 849, 849, 861?
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 614, 849, 849, 861.
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}.