Find the LCM of 329, 687, 687, 158, 687 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 329, 687, 687, 158, 687. So, keep reading to learn more.
Given numbers are 329,687,687,158,687
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 329,687,687,158,687 is 35711634.
Find LCM of 329,687,687,158,687 with Prime Factorization
3 | 329, 687, 687, 158, 687 |
229 | 329, 229, 229, 158, 229 |
329, 1, 1, 158, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 229 x 329 x 1 x 1 x 158 x 1 = 35711634
Therefore, the lowest common multiple of 329,687,687,158,687 is 35711634.
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.
329 x 687 x 687 x 158 x 687 = 16854784187346
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.
329 : 1, 7, 47, 329
687 : 1, 3, 229, 687
687 : 1, 3, 229, 687
158 : 1, 2, 79, 158
687 : 1, 3, 229, 687
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 329,687,687,158,687, is 1.
Now, the common factors can be found like this.
329:7x 47
687:3x 229
687:3x 229
158:2x 79
687:3x 229
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 229x 229 = 471969
Therefore, the value for common factors is 471969.
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 = 16854784187346/(1x471969)
LCM = 16854784187346/471969
LCM = 35711634
Thus, we can understand that the LCM of 329,687,687,158,687 is 35711634.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 329, 687, 687, 158, 687?
Answer: LCM of 329, 687, 687, 158, 687 is 35711634.
2. How to calculate the LCM of 329, 687, 687, 158, 687?
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 329, 687, 687, 158, 687.
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}.