Find the LCM of 510, 930, 904, 713, 442 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 510, 930, 904, 713, 442. So, keep reading to learn more.
Given numbers are 510,930,904,713,442
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 510,930,904,713,442 is 2136689880.
Find LCM of 510,930,904,713,442 with Prime Factorization
2 | 510, 930, 904, 713, 442 |
3 | 255, 465, 452, 713, 221 |
5 | 85, 155, 452, 713, 221 |
17 | 17, 31, 452, 713, 221 |
31 | 1, 31, 452, 713, 13 |
1, 1, 452, 23, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 17 x 31 x 1 x 1 x 452 x 23 x 13 = 2136689880
Therefore, the lowest common multiple of 510,930,904,713,442 is 2136689880.
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.
510 x 930 x 904 x 713 x 442 = 135124268011200
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.
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
904 : 1, 2, 4, 8, 113, 226, 452, 904
713 : 1, 23, 31, 713
442 : 1, 2, 13, 17, 26, 34, 221, 442
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 510,930,904,713,442, is 1.
Now, the common factors can be found like this.
510:2x 3x 5x 17
930:2x 3x 5x 31
904:2x 2x 2x 113
713:23x 31
442:2x 13x 17
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 3x 5x 17x 31 = 63240
Therefore, the value for common factors is 63240.
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 = 135124268011200/(1x63240)
LCM = 135124268011200/63240
LCM = 2136689880
Thus, we can understand that the LCM of 510,930,904,713,442 is 2136689880.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 510, 930, 904, 713, 442?
Answer: LCM of 510, 930, 904, 713, 442 is 2136689880.
2. How to calculate the LCM of 510, 930, 904, 713, 442?
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 510, 930, 904, 713, 442.
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}.