LCM of 676, 598, 542, 958, 311
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 676, 598, 542, 958, 311 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 676, 598, 542, 958, 311. So, keep reading to learn more.
Given numbers are 676,598,542,958,311
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 676,598,542,958,311 is 627682073252.
Find LCM of 676,598,542,958,311 with Prime Factorization
| 2 | 676, 598, 542, 958, 311 |
| 13 | 338, 299, 271, 479, 311 |
| 26, 23, 271, 479, 311 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 26 x 23 x 271 x 479 x 311 = 627682073252
Therefore, the lowest common multiple of 676,598,542,958,311 is 627682073252.
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.
676 x 598 x 542 x 958 x 311 = 65278935618208
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.
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
598 : 1, 2, 13, 23, 26, 46, 299, 598
542 : 1, 2, 271, 542
958 : 1, 2, 479, 958
311 : 1, 311
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,598,542,958,311, is 1.
Now, the common factors can be found like this.
676:2x 2x 13x 13
598:2x 13x 23
542:2x 271
958:2x 479
311:311
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 13 = 104
Therefore, the value for common factors is 104.
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 = 65278935618208/(1x104)
LCM = 65278935618208/104
LCM = 627682073252
Thus, we can understand that the LCM of 676,598,542,958,311 is 627682073252.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 676, 598, 542, 958, 311
1. What is the LCM of 676, 598, 542, 958, 311?
Answer: LCM of 676, 598, 542, 958, 311 is 627682073252.
2. How to calculate the LCM of 676, 598, 542, 958, 311?
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 676, 598, 542, 958, 311.
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}.