Find the LCM of 501, 791, 791, 875 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 501, 791, 791, 875. So, keep reading to learn more.
Given numbers are 501,791,791,875
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 501,791,791,875 is 49536375.
Find LCM of 501,791,791,875 with Prime Factorization
7 | 501, 791, 791, 875 |
113 | 501, 113, 113, 125 |
501, 1, 1, 125 |
Multiply the prime numbers at the bottom and the left side.
7 x 113 x 501 x 1 x 1 x 125 = 49536375
Therefore, the lowest common multiple of 501,791,791,875 is 49536375.
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.
501 x 791 x 791 x 875 = 274282908375
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.
501 : 1, 3, 167, 501
791 : 1, 7, 113, 791
791 : 1, 7, 113, 791
875 : 1, 5, 7, 25, 35, 125, 175, 875
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 501,791,791,875, is 1.
Now, the common factors can be found like this.
501:3x 167
791:7x 113
791:7x 113
875:5x 5x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 7x 113 = 5537
Therefore, the value for common factors is 5537.
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 = 274282908375/(1x5537)
LCM = 274282908375/5537
LCM = 49536375
Thus, we can understand that the LCM of 501,791,791,875 is 49536375.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 501, 791, 791, 875?
Answer: LCM of 501, 791, 791, 875 is 49536375.
2. How to calculate the LCM of 501, 791, 791, 875?
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 501, 791, 791, 875.
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}.