Find the LCM of 614, 646, 676, 616 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, 646, 676, 616. So, keep reading to learn more.
Given numbers are 614,646,676,616
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 614,646,676,616 is 10323056744.
Find LCM of 614,646,676,616 with Prime Factorization
2 | 614, 646, 676, 616 |
2 | 307, 323, 338, 308 |
307, 323, 169, 154 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 307 x 323 x 169 x 154 = 10323056744
Therefore, the lowest common multiple of 614,646,676,616 is 10323056744.
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 646 x 676 x 616 = 165168907904
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
646 : 1, 2, 17, 19, 34, 38, 323, 646
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 614,646,676,616, is 2.
Now, the common factors can be found like this.
614:2x 307
646:2x 17x 19
676:2x 2x 13x 13
616:2x 2x 2x 7x 11
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 2 = 8
Therefore, the value for common factors is 8.
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 = 165168907904/(2x8)
LCM = 165168907904/16
LCM = 10323056744
Thus, we can understand that the LCM of 614,646,676,616 is 10323056744.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 614, 646, 676, 616?
Answer: LCM of 614, 646, 676, 616 is 10323056744.
2. How to calculate the LCM of 614, 646, 676, 616?
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, 646, 676, 616.
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}.