LCM of 715, 187, 689, 463
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 715, 187, 689, 463 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 715, 187, 689, 463. So, keep reading to learn more.
Given numbers are 715,187,689,463
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 715,187,689,463 is 298271545.
Find LCM of 715,187,689,463 with Prime Factorization
| 11 | 715, 187, 689, 463 |
| 13 | 65, 17, 689, 463 |
| 5, 17, 53, 463 |
Multiply the prime numbers at the bottom and the left side.
11 x 13 x 5 x 17 x 53 x 463 = 298271545
Therefore, the lowest common multiple of 715,187,689,463 is 298271545.
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.
715 x 187 x 689 x 463 = 42652830935
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.
715 : 1, 5, 11, 13, 55, 65, 143, 715
187 : 1, 11, 17, 187
689 : 1, 13, 53, 689
463 : 1, 463
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 715,187,689,463, is 1.
Now, the common factors can be found like this.
715:5x 11x 13
187:11x 17
689:13x 53
463:463
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 13 = 143
Therefore, the value for common factors is 143.
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 = 42652830935/(1x143)
LCM = 42652830935/143
LCM = 298271545
Thus, we can understand that the LCM of 715,187,689,463 is 298271545.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 715, 187, 689, 463
1. What is the LCM of 715, 187, 689, 463?
Answer: LCM of 715, 187, 689, 463 is 298271545.
2. How to calculate the LCM of 715, 187, 689, 463?
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 715, 187, 689, 463.
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}.