LCM of 687, 279, 438, 916, 519
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 687, 279, 438, 916, 519 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, 279, 438, 916, 519. So, keep reading to learn more.
Given numbers are 687,279,438,916,519
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 687,279,438,916,519 is 3227517756.
Find LCM of 687,279,438,916,519 with Prime Factorization
| 2 | 687, 279, 438, 916, 519 |
| 3 | 687, 279, 219, 458, 519 |
| 229 | 229, 93, 73, 458, 173 |
| 1, 93, 73, 2, 173 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 229 x 1 x 93 x 73 x 2 x 173 = 3227517756
Therefore, the lowest common multiple of 687,279,438,916,519 is 3227517756.
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 279 x 438 x 916 x 519 = 39911484570696
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
279 : 1, 3, 9, 31, 93, 279
438 : 1, 2, 3, 6, 73, 146, 219, 438
916 : 1, 2, 4, 229, 458, 916
519 : 1, 3, 173, 519
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 687,279,438,916,519, is 1.
Now, the common factors can be found like this.
687:3x 229
279:3x 3x 31
438:2x 3x 73
916:2x 2x 229
519:3x 173
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 3x 3x 229 = 12366
Therefore, the value for common factors is 12366.
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 = 39911484570696/(1x12366)
LCM = 39911484570696/12366
LCM = 3227517756
Thus, we can understand that the LCM of 687,279,438,916,519 is 3227517756.
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, 279, 438, 916, 519
1. What is the LCM of 687, 279, 438, 916, 519?
Answer: LCM of 687, 279, 438, 916, 519 is 3227517756.
2. How to calculate the LCM of 687, 279, 438, 916, 519?
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, 279, 438, 916, 519.
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}.