Find the LCM of 23, 391, 986 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 23, 391, 986. So, keep reading to learn more.
Given numbers are 23,391,986
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 23,391,986 is 22678.
Find LCM of 23,391,986 with Prime Factorization
17 | 23, 391, 986 |
23 | 23, 23, 58 |
1, 1, 58 |
Multiply the prime numbers at the bottom and the left side.
17 x 23 x 1 x 1 x 58 = 22678
Therefore, the lowest common multiple of 23,391,986 is 22678.
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.
23 x 391 x 986 = 8867098
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.
23 : 1, 23
391 : 1, 17, 23, 391
986 : 1, 2, 17, 29, 34, 58, 493, 986
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 23,391,986, is 1.
Now, the common factors can be found like this.
23:23
391:17x 23
986:2x 17x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17x 23 = 391
Therefore, the value for common factors is 391.
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 = 8867098/(1x391)
LCM = 8867098/391
LCM = 22678
Thus, we can understand that the LCM of 23,391,986 is 22678.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 23, 391, 986?
Answer: LCM of 23, 391, 986 is 22678.
2. How to calculate the LCM of 23, 391, 986?
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 23, 391, 986.
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}.