Find the LCM of 146, 127, 204, 348, 146 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 146, 127, 204, 348, 146. So, keep reading to learn more.
Given numbers are 146,127,204,348,146
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 146,127,204,348,146 is 54847236.
Find LCM of 146,127,204,348,146 with Prime Factorization
2 | 146, 127, 204, 348, 146 |
2 | 73, 127, 102, 174, 73 |
3 | 73, 127, 51, 87, 73 |
73 | 73, 127, 17, 29, 73 |
1, 127, 17, 29, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 73 x 1 x 127 x 17 x 29 x 1 = 54847236
Therefore, the lowest common multiple of 146,127,204,348,146 is 54847236.
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.
146 x 127 x 204 x 348 x 146 = 192184714944
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.
146 : 1, 2, 73, 146
127 : 1, 127
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
146 : 1, 2, 73, 146
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 146,127,204,348,146, is 1.
Now, the common factors can be found like this.
146:2x 73
127:127
204:2x 2x 3x 17
348:2x 2x 3x 29
146:2x 73
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 3x 73 = 3504
Therefore, the value for common factors is 3504.
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 = 192184714944/(1x3504)
LCM = 192184714944/3504
LCM = 54847236
Thus, we can understand that the LCM of 146,127,204,348,146 is 54847236.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 146, 127, 204, 348, 146?
Answer: LCM of 146, 127, 204, 348, 146 is 54847236.
2. How to calculate the LCM of 146, 127, 204, 348, 146?
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 146, 127, 204, 348, 146.
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}.