LCM of 955, 764, 935, 465, 102
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 955, 764, 935, 465, 102 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 955, 764, 935, 465, 102. So, keep reading to learn more.
Given numbers are 955,764,935,465,102
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 955,764,935,465,102 is 66433620.
Find LCM of 955,764,935,465,102 with Prime Factorization
| 2 | 955, 764, 935, 465, 102 |
| 3 | 955, 382, 935, 465, 51 |
| 5 | 955, 382, 935, 155, 17 |
| 17 | 191, 382, 187, 31, 17 |
| 191 | 191, 382, 11, 31, 1 |
| 1, 2, 11, 31, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 17 x 191 x 1 x 2 x 11 x 31 x 1 = 66433620
Therefore, the lowest common multiple of 955,764,935,465,102 is 66433620.
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.
955 x 764 x 935 x 465 x 102 = 32356494621000
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.
955 : 1, 5, 191, 955
764 : 1, 2, 4, 191, 382, 764
935 : 1, 5, 11, 17, 55, 85, 187, 935
465 : 1, 3, 5, 15, 31, 93, 155, 465
102 : 1, 2, 3, 6, 17, 34, 51, 102
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 955,764,935,465,102, is 1.
Now, the common factors can be found like this.
955:5x 191
764:2x 2x 191
935:5x 11x 17
465:3x 5x 31
102:2x 3x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 5x 17x 191 = 487050
Therefore, the value for common factors is 487050.
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 = 32356494621000/(1x487050)
LCM = 32356494621000/487050
LCM = 66433620
Thus, we can understand that the LCM of 955,764,935,465,102 is 66433620.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 955, 764, 935, 465, 102
1. What is the LCM of 955, 764, 935, 465, 102?
Answer: LCM of 955, 764, 935, 465, 102 is 66433620.
2. How to calculate the LCM of 955, 764, 935, 465, 102?
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 955, 764, 935, 465, 102.
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}.