LCM of 677, 645, 510, 442, 413
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 677, 645, 510, 442, 413 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 677, 645, 510, 442, 413. So, keep reading to learn more.
Given numbers are 677,645,510,442,413
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 677,645,510,442,413 is 79711449090.
Find LCM of 677,645,510,442,413 with Prime Factorization
| 2 | 677, 645, 510, 442, 413 |
| 3 | 677, 645, 255, 221, 413 |
| 5 | 677, 215, 85, 221, 413 |
| 17 | 677, 43, 17, 221, 413 |
| 677, 43, 1, 13, 413 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 17 x 677 x 43 x 1 x 13 x 413 = 79711449090
Therefore, the lowest common multiple of 677,645,510,442,413 is 79711449090.
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.
677 x 645 x 510 x 442 x 413 = 40652839035900
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.
677 : 1, 677
645 : 1, 3, 5, 15, 43, 129, 215, 645
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
442 : 1, 2, 13, 17, 26, 34, 221, 442
413 : 1, 7, 59, 413
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 677,645,510,442,413, is 1.
Now, the common factors can be found like this.
677:677
645:3x 5x 43
510:2x 3x 5x 17
442:2x 13x 17
413:7x 59
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 5x 17 = 510
Therefore, the value for common factors is 510.
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 = 40652839035900/(1x510)
LCM = 40652839035900/510
LCM = 79711449090
Thus, we can understand that the LCM of 677,645,510,442,413 is 79711449090.
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FAQs on LCM of 677, 645, 510, 442, 413
1. What is the LCM of 677, 645, 510, 442, 413?
Answer: LCM of 677, 645, 510, 442, 413 is 79711449090.
2. How to calculate the LCM of 677, 645, 510, 442, 413?
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 677, 645, 510, 442, 413.
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}.