Find the LCM of 663, 5389, 164 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 663, 5389, 164. So, keep reading to learn more.
Given numbers are 663,5389,164
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 663,5389,164 is 34468044.
Find LCM of 663,5389,164 with Prime Factorization
17 | 663, 5389, 164 |
39, 317, 164 |
Multiply the prime numbers at the bottom and the left side.
17 x 39 x 317 x 164 = 34468044
Therefore, the lowest common multiple of 663,5389,164 is 34468044.
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.
663 x 5389 x 164 = 585956748
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.
663 : 1, 3, 13, 17, 39, 51, 221, 663
5389 : 1, 17, 317, 5389
164 : 1, 2, 4, 41, 82, 164
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 663,5389,164, is 1.
Now, the common factors can be found like this.
663:3x 13x 17
5389:17x 317
164:2x 2x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17 = 17
Therefore, the value for common factors is 17.
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 = 585956748/(1x17)
LCM = 585956748/17
LCM = 34468044
Thus, we can understand that the LCM of 663,5389,164 is 34468044.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 663, 5389, 164?
Answer: LCM of 663, 5389, 164 is 34468044.
2. How to calculate the LCM of 663, 5389, 164?
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 663, 5389, 164.
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}.