LCM of 268, 431, 715, 530, 961
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 268, 431, 715, 530, 961 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 268, 431, 715, 530, 961. So, keep reading to learn more.
Given numbers are 268,431,715,530,961
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 268,431,715,530,961 is 4206465809260.
Find LCM of 268,431,715,530,961 with Prime Factorization
| 2 | 268, 431, 715, 530, 961 |
| 5 | 134, 431, 715, 265, 961 |
| 134, 431, 143, 53, 961 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 134 x 431 x 143 x 53 x 961 = 4206465809260
Therefore, the lowest common multiple of 268,431,715,530,961 is 4206465809260.
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.
268 x 431 x 715 x 530 x 961 = 42064658092600
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.
268 : 1, 2, 4, 67, 134, 268
431 : 1, 431
715 : 1, 5, 11, 13, 55, 65, 143, 715
530 : 1, 2, 5, 10, 53, 106, 265, 530
961 : 1, 31, 961
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 268,431,715,530,961, is 1.
Now, the common factors can be found like this.
268:2x 2x 67
431:431
715:5x 11x 13
530:2x 5x 53
961:31x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5 = 10
Therefore, the value for common factors is 10.
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 = 42064658092600/(1x10)
LCM = 42064658092600/10
LCM = 4206465809260
Thus, we can understand that the LCM of 268,431,715,530,961 is 4206465809260.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 268, 431, 715, 530, 961
1. What is the LCM of 268, 431, 715, 530, 961?
Answer: LCM of 268, 431, 715, 530, 961 is 4206465809260.
2. How to calculate the LCM of 268, 431, 715, 530, 961?
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 268, 431, 715, 530, 961.
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}.