Find the LCM of 319, 116, 317, 567 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 319, 116, 317, 567. So, keep reading to learn more.
Given numbers are 319,116,317,567
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 319,116,317,567 is 229346964.
Find LCM of 319,116,317,567 with Prime Factorization
29 | 319, 116, 317, 567 |
11, 4, 317, 567 |
Multiply the prime numbers at the bottom and the left side.
29 x 11 x 4 x 317 x 567 = 229346964
Therefore, the lowest common multiple of 319,116,317,567 is 229346964.
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.
319 x 116 x 317 x 567 = 6651061956
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.
319 : 1, 11, 29, 319
116 : 1, 2, 4, 29, 58, 116
317 : 1, 317
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,116,317,567, is 1.
Now, the common factors can be found like this.
319:11x 29
116:2x 2x 29
317:317
567:3x 3x 3x 3x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
29 = 29
Therefore, the value for common factors is 29.
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 = 6651061956/(1x29)
LCM = 6651061956/29
LCM = 229346964
Thus, we can understand that the LCM of 319,116,317,567 is 229346964.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 319, 116, 317, 567?
Answer: LCM of 319, 116, 317, 567 is 229346964.
2. How to calculate the LCM of 319, 116, 317, 567?
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 319, 116, 317, 567.
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}.