Find the LCM of 986, 986, 403, 986, 368 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, 986, 403, 986, 368. So, keep reading to learn more.
Given numbers are 986,986,403,986,368
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 986,986,403,986,368 is 73113872.
Find LCM of 986,986,403,986,368 with Prime Factorization
2 | 986, 986, 403, 986, 368 |
17 | 493, 493, 403, 493, 184 |
29 | 29, 29, 403, 29, 184 |
1, 1, 403, 1, 184 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 29 x 1 x 1 x 403 x 1 x 184 = 73113872
Therefore, the lowest common multiple of 986,986,403,986,368 is 73113872.
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 986 x 403 x 986 x 368 = 142162027805824
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
986 : 1, 2, 17, 29, 34, 58, 493, 986
403 : 1, 13, 31, 403
986 : 1, 2, 17, 29, 34, 58, 493, 986
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 986,986,403,986,368, is 1.
Now, the common factors can be found like this.
986:2x 17x 29
986:2x 17x 29
403:13x 31
986:2x 17x 29
368:2x 2x 2x 2x 23
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 17x 17x 29x 29 = 1944392
Therefore, the value for common factors is 1944392.
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 = 142162027805824/(1x1944392)
LCM = 142162027805824/1944392
LCM = 73113872
Thus, we can understand that the LCM of 986,986,403,986,368 is 73113872.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 986, 986, 403, 986, 368?
Answer: LCM of 986, 986, 403, 986, 368 is 73113872.
2. How to calculate the LCM of 986, 986, 403, 986, 368?
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, 986, 403, 986, 368.
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}.