Find the LCM of 146, 231, 613, 471, 628 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, 231, 613, 471, 628. So, keep reading to learn more.
Given numbers are 146,231,613,471,628
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 146,231,613,471,628 is 6491647932.
Find LCM of 146,231,613,471,628 with Prime Factorization
2 | 146, 231, 613, 471, 628 |
3 | 73, 231, 613, 471, 314 |
157 | 73, 77, 613, 157, 314 |
73, 77, 613, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 157 x 73 x 77 x 613 x 1 x 2 = 6491647932
Therefore, the lowest common multiple of 146,231,613,471,628 is 6491647932.
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 231 x 613 x 471 x 628 = 6115132351944
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
231 : 1, 3, 7, 11, 21, 33, 77, 231
613 : 1, 613
471 : 1, 3, 157, 471
628 : 1, 2, 4, 157, 314, 628
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 146,231,613,471,628, is 1.
Now, the common factors can be found like this.
146:2x 73
231:3x 7x 11
613:613
471:3x 157
628:2x 2x 157
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 157 = 942
Therefore, the value for common factors is 942.
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 = 6115132351944/(1x942)
LCM = 6115132351944/942
LCM = 6491647932
Thus, we can understand that the LCM of 146,231,613,471,628 is 6491647932.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 146, 231, 613, 471, 628?
Answer: LCM of 146, 231, 613, 471, 628 is 6491647932.
2. How to calculate the LCM of 146, 231, 613, 471, 628?
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, 231, 613, 471, 628.
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}.