Find the LCM of 183, 365, 107, 214 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 183, 365, 107, 214. So, keep reading to learn more.
Given numbers are 183,365,107,214
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 183,365,107,214 is 14294130.
Find LCM of 183,365,107,214 with Prime Factorization
107 | 183, 365, 107, 214 |
183, 365, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
107 x 183 x 365 x 1 x 2 = 14294130
Therefore, the lowest common multiple of 183,365,107,214 is 14294130.
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.
183 x 365 x 107 x 214 = 1529471910
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.
183 : 1, 3, 61, 183
365 : 1, 5, 73, 365
107 : 1, 107
214 : 1, 2, 107, 214
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 183,365,107,214, is 1.
Now, the common factors can be found like this.
183:3x 61
365:5x 73
107:107
214:2x 107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
107 = 107
Therefore, the value for common factors is 107.
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 = 1529471910/(1x107)
LCM = 1529471910/107
LCM = 14294130
Thus, we can understand that the LCM of 183,365,107,214 is 14294130.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 183, 365, 107, 214?
Answer: LCM of 183, 365, 107, 214 is 14294130.
2. How to calculate the LCM of 183, 365, 107, 214?
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 183, 365, 107, 214.
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}.