Find the LCM of 338, 138, 268, 184, 112 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 338, 138, 268, 184, 112. So, keep reading to learn more.
Given numbers are 338,138,268,184,112
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 338,138,268,184,112 is 87504144.
Find LCM of 338,138,268,184,112 with Prime Factorization
2 | 338, 138, 268, 184, 112 |
2 | 169, 69, 134, 92, 56 |
2 | 169, 69, 67, 46, 28 |
23 | 169, 69, 67, 23, 14 |
169, 3, 67, 1, 14 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 23 x 169 x 3 x 67 x 1 x 14 = 87504144
Therefore, the lowest common multiple of 338,138,268,184,112 is 87504144.
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.
338 x 138 x 268 x 184 x 112 = 257612199936
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.
338 : 1, 2, 13, 26, 169, 338
138 : 1, 2, 3, 6, 23, 46, 69, 138
268 : 1, 2, 4, 67, 134, 268
184 : 1, 2, 4, 8, 23, 46, 92, 184
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,138,268,184,112, is 2.
Now, the common factors can be found like this.
338:2x 13x 13
138:2x 3x 23
268:2x 2x 67
184:2x 2x 2x 23
112:2x 2x 2x 2x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 2x 2x 23 = 1472
Therefore, the value for common factors is 1472.
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 = 257612199936/(2x1472)
LCM = 257612199936/2944
LCM = 87504144
Thus, we can understand that the LCM of 338,138,268,184,112 is 87504144.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 338, 138, 268, 184, 112?
Answer: LCM of 338, 138, 268, 184, 112 is 87504144.
2. How to calculate the LCM of 338, 138, 268, 184, 112?
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 338, 138, 268, 184, 112.
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}.