LCM of 925, 187, 682, 465, 961
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 925, 187, 682, 465, 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 925, 187, 682, 465, 961. So, keep reading to learn more.
Given numbers are 925,187,682,465,961
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 925,187,682,465,961 is 997373850.
Find LCM of 925,187,682,465,961 with Prime Factorization
| 5 | 925, 187, 682, 465, 961 |
| 11 | 185, 187, 682, 93, 961 |
| 31 | 185, 17, 62, 93, 961 |
| 185, 17, 2, 3, 31 |
Multiply the prime numbers at the bottom and the left side.
5 x 11 x 31 x 185 x 17 x 2 x 3 x 31 = 997373850
Therefore, the lowest common multiple of 925,187,682,465,961 is 997373850.
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.
925 x 187 x 682 x 465 x 961 = 52716194841750
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.
925 : 1, 5, 25, 37, 185, 925
187 : 1, 11, 17, 187
682 : 1, 2, 11, 22, 31, 62, 341, 682
465 : 1, 3, 5, 15, 31, 93, 155, 465
961 : 1, 31, 961
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 925,187,682,465,961, is 1.
Now, the common factors can be found like this.
925:5x 5x 37
187:11x 17
682:2x 11x 31
465:3x 5x 31
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.
5x 11x 31x 31 = 52855
Therefore, the value for common factors is 52855.
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 = 52716194841750/(1x52855)
LCM = 52716194841750/52855
LCM = 997373850
Thus, we can understand that the LCM of 925,187,682,465,961 is 997373850.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 925, 187, 682, 465, 961
1. What is the LCM of 925, 187, 682, 465, 961?
Answer: LCM of 925, 187, 682, 465, 961 is 997373850.
2. How to calculate the LCM of 925, 187, 682, 465, 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 925, 187, 682, 465, 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}.