Find the LCM of 329, 331, 167, 501 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, 331, 167, 501. So, keep reading to learn more.
Given numbers are 329,331,167,501
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 329,331,167,501 is 54558399.
Find LCM of 329,331,167,501 with Prime Factorization
167 | 329, 331, 167, 501 |
329, 331, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
167 x 329 x 331 x 1 x 3 = 54558399
Therefore, the lowest common multiple of 329,331,167,501 is 54558399.
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 331 x 167 x 501 = 9111252633
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
331 : 1, 331
167 : 1, 167
501 : 1, 3, 167, 501
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 329,331,167,501, is 1.
Now, the common factors can be found like this.
329:7x 47
331:331
167:167
501:3x 167
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
167 = 167
Therefore, the value for common factors is 167.
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 = 9111252633/(1x167)
LCM = 9111252633/167
LCM = 54558399
Thus, we can understand that the LCM of 329,331,167,501 is 54558399.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 329, 331, 167, 501?
Answer: LCM of 329, 331, 167, 501 is 54558399.
2. How to calculate the LCM of 329, 331, 167, 501?
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, 331, 167, 501.
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}.