Find the LCM of 856, 109, 109, 239 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 856, 109, 109, 239. So, keep reading to learn more.
Given numbers are 856,109,109,239
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 856,109,109,239 is 22299656.
Find LCM of 856,109,109,239 with Prime Factorization
109 | 856, 109, 109, 239 |
856, 1, 1, 239 |
Multiply the prime numbers at the bottom and the left side.
109 x 856 x 1 x 1 x 239 = 22299656
Therefore, the lowest common multiple of 856,109,109,239 is 22299656.
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.
856 x 109 x 109 x 239 = 2430662504
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.
856 : 1, 2, 4, 8, 107, 214, 428, 856
109 : 1, 109
109 : 1, 109
239 : 1, 239
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 856,109,109,239, is 1.
Now, the common factors can be found like this.
856:2x 2x 2x 107
109:109
109:109
239:239
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
109 = 109
Therefore, the value for common factors is 109.
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 = 2430662504/(1x109)
LCM = 2430662504/109
LCM = 22299656
Thus, we can understand that the LCM of 856,109,109,239 is 22299656.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 856, 109, 109, 239?
Answer: LCM of 856, 109, 109, 239 is 22299656.
2. How to calculate the LCM of 856, 109, 109, 239?
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 856, 109, 109, 239.
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}.