LCM of 764, 317, 973, 324, 951
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 764, 317, 973, 324, 951 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 764, 317, 973, 324, 951. So, keep reading to learn more.
Given numbers are 764,317,973,324,951
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 764,317,973,324,951 is 19087562844.
Find LCM of 764,317,973,324,951 with Prime Factorization
| 2 | 764, 317, 973, 324, 951 |
| 2 | 382, 317, 973, 162, 951 |
| 3 | 191, 317, 973, 81, 951 |
| 317 | 191, 317, 973, 27, 317 |
| 191, 1, 973, 27, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 317 x 191 x 1 x 973 x 27 x 1 = 19087562844
Therefore, the lowest common multiple of 764,317,973,324,951 is 19087562844.
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.
764 x 317 x 973 x 324 x 951 = 72609089058576
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.
764 : 1, 2, 4, 191, 382, 764
317 : 1, 317
973 : 1, 7, 139, 973
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
951 : 1, 3, 317, 951
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 764,317,973,324,951, is 1.
Now, the common factors can be found like this.
764:2x 2x 191
317:317
973:7x 139
324:2x 2x 3x 3x 3x 3
951:3x 317
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 317 = 3804
Therefore, the value for common factors is 3804.
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 = 72609089058576/(1x3804)
LCM = 72609089058576/3804
LCM = 19087562844
Thus, we can understand that the LCM of 764,317,973,324,951 is 19087562844.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 764, 317, 973, 324, 951
1. What is the LCM of 764, 317, 973, 324, 951?
Answer: LCM of 764, 317, 973, 324, 951 is 19087562844.
2. How to calculate the LCM of 764, 317, 973, 324, 951?
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 764, 317, 973, 324, 951.
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}.