Find the LCM of 986, 686, 614, 669 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 986, 686, 614, 669. So, keep reading to learn more.
Given numbers are 986,686,614,669
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 986,686,614,669 is 69460119834.
Find LCM of 986,686,614,669 with Prime Factorization
2 | 986, 686, 614, 669 |
493, 343, 307, 669 |
Multiply the prime numbers at the bottom and the left side.
2 x 493 x 343 x 307 x 669 = 69460119834
Therefore, the lowest common multiple of 986,686,614,669 is 69460119834.
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.
986 x 686 x 614 x 669 = 277840479336
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.
986 : 1, 2, 17, 29, 34, 58, 493, 986
686 : 1, 2, 7, 14, 49, 98, 343, 686
614 : 1, 2, 307, 614
669 : 1, 3, 223, 669
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 986,686,614,669, is 1.
Now, the common factors can be found like this.
986:2x 17x 29
686:2x 7x 7x 7
614:2x 307
669:3x 223
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 277840479336/(1x4)
LCM = 277840479336/4
LCM = 69460119834
Thus, we can understand that the LCM of 986,686,614,669 is 69460119834.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 986, 686, 614, 669?
Answer: LCM of 986, 686, 614, 669 is 69460119834.
2. How to calculate the LCM of 986, 686, 614, 669?
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 986, 686, 614, 669.
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}.