Find the LCM of 323, 138, 221, 185 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 323, 138, 221, 185. So, keep reading to learn more.
Given numbers are 323,138,221,185
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 323,138,221,185 is 107200470.
Find LCM of 323,138,221,185 with Prime Factorization
17 | 323, 138, 221, 185 |
19, 138, 13, 185 |
Multiply the prime numbers at the bottom and the left side.
17 x 19 x 138 x 13 x 185 = 107200470
Therefore, the lowest common multiple of 323,138,221,185 is 107200470.
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.
323 x 138 x 221 x 185 = 1822407990
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.
323 : 1, 17, 19, 323
138 : 1, 2, 3, 6, 23, 46, 69, 138
221 : 1, 13, 17, 221
185 : 1, 5, 37, 185
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 323,138,221,185, is 1.
Now, the common factors can be found like this.
323:17x 19
138:2x 3x 23
221:13x 17
185:5x 37
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 = 1822407990/(1x17)
LCM = 1822407990/17
LCM = 107200470
Thus, we can understand that the LCM of 323,138,221,185 is 107200470.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 323, 138, 221, 185?
Answer: LCM of 323, 138, 221, 185 is 107200470.
2. How to calculate the LCM of 323, 138, 221, 185?
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 323, 138, 221, 185.
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}.