Find the LCM of 217, 668, 923, 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 217, 668, 923, 501. So, keep reading to learn more.
Given numbers are 217,668,923,501
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 217,668,923,501 is 401383164.
Find LCM of 217,668,923,501 with Prime Factorization
167 | 217, 668, 923, 501 |
217, 4, 923, 3 |
Multiply the prime numbers at the bottom and the left side.
167 x 217 x 4 x 923 x 3 = 401383164
Therefore, the lowest common multiple of 217,668,923,501 is 401383164.
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.
217 x 668 x 923 x 501 = 67030988388
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.
217 : 1, 7, 31, 217
668 : 1, 2, 4, 167, 334, 668
923 : 1, 13, 71, 923
501 : 1, 3, 167, 501
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 217,668,923,501, is 1.
Now, the common factors can be found like this.
217:7x 31
668:2x 2x 167
923:13x 71
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 = 67030988388/(1x167)
LCM = 67030988388/167
LCM = 401383164
Thus, we can understand that the LCM of 217,668,923,501 is 401383164.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 217, 668, 923, 501?
Answer: LCM of 217, 668, 923, 501 is 401383164.
2. How to calculate the LCM of 217, 668, 923, 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 217, 668, 923, 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}.