Find the LCM of 874, 115, 107 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 874, 115, 107. So, keep reading to learn more.
Given numbers are 874,115,107
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 874,115,107 is 467590.
Find LCM of 874,115,107 with Prime Factorization
23 | 874, 115, 107 |
38, 5, 107 |
Multiply the prime numbers at the bottom and the left side.
23 x 38 x 5 x 107 = 467590
Therefore, the lowest common multiple of 874,115,107 is 467590.
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.
874 x 115 x 107 = 10754570
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.
874 : 1, 2, 19, 23, 38, 46, 437, 874
115 : 1, 5, 23, 115
107 : 1, 107
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 874,115,107, is 1.
Now, the common factors can be found like this.
874:2x 19x 23
115:5x 23
107:107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
23 = 23
Therefore, the value for common factors is 23.
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 = 10754570/(1x23)
LCM = 10754570/23
LCM = 467590
Thus, we can understand that the LCM of 874,115,107 is 467590.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 874, 115, 107?
Answer: LCM of 874, 115, 107 is 467590.
2. How to calculate the LCM of 874, 115, 107?
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 874, 115, 107.
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}.