LCM of 687, 577, 589, 465, 399
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 687, 577, 589, 465, 399 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 687, 577, 589, 465, 399. So, keep reading to learn more.
Given numbers are 687,577,589,465,399
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 687,577,589,465,399 is 8171765385.
Find LCM of 687,577,589,465,399 with Prime Factorization
| 3 | 687, 577, 589, 465, 399 |
| 19 | 229, 577, 589, 155, 133 |
| 31 | 229, 577, 31, 155, 7 |
| 229, 577, 1, 5, 7 |
Multiply the prime numbers at the bottom and the left side.
3 x 19 x 31 x 229 x 577 x 1 x 5 x 7 = 8171765385
Therefore, the lowest common multiple of 687,577,589,465,399 is 8171765385.
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.
687 x 577 x 589 x 465 x 399 = 43318528305885
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.
687 : 1, 3, 229, 687
577 : 1, 577
589 : 1, 19, 31, 589
465 : 1, 3, 5, 15, 31, 93, 155, 465
399 : 1, 3, 7, 19, 21, 57, 133, 399
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 687,577,589,465,399, is 1.
Now, the common factors can be found like this.
687:3x 229
577:577
589:19x 31
465:3x 5x 31
399:3x 7x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 19x 31 = 5301
Therefore, the value for common factors is 5301.
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 = 43318528305885/(1x5301)
LCM = 43318528305885/5301
LCM = 8171765385
Thus, we can understand that the LCM of 687,577,589,465,399 is 8171765385.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 687, 577, 589, 465, 399
1. What is the LCM of 687, 577, 589, 465, 399?
Answer: LCM of 687, 577, 589, 465, 399 is 8171765385.
2. How to calculate the LCM of 687, 577, 589, 465, 399?
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 687, 577, 589, 465, 399.
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}.