Find the LCM of 517, 940, 502, 546, 520 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 517, 940, 502, 546, 520. So, keep reading to learn more.
Given numbers are 517,940,502,546,520
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 517,940,502,546,520 is 1417055640.
Find LCM of 517,940,502,546,520 with Prime Factorization
2 | 517, 940, 502, 546, 520 |
2 | 517, 470, 251, 273, 260 |
5 | 517, 235, 251, 273, 130 |
13 | 517, 47, 251, 273, 26 |
47 | 517, 47, 251, 21, 2 |
11, 1, 251, 21, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 13 x 47 x 11 x 1 x 251 x 21 x 2 = 1417055640
Therefore, the lowest common multiple of 517,940,502,546,520 is 1417055640.
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.
517 x 940 x 502 x 546 x 520 = 69265679683200
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.
517 : 1, 11, 47, 517
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
502 : 1, 2, 251, 502
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 517,940,502,546,520, is 1.
Now, the common factors can be found like this.
517:11x 47
940:2x 2x 5x 47
502:2x 251
546:2x 3x 7x 13
520:2x 2x 2x 5x 13
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 2x 5x 13x 47 = 48880
Therefore, the value for common factors is 48880.
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 = 69265679683200/(1x48880)
LCM = 69265679683200/48880
LCM = 1417055640
Thus, we can understand that the LCM of 517,940,502,546,520 is 1417055640.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 517, 940, 502, 546, 520?
Answer: LCM of 517, 940, 502, 546, 520 is 1417055640.
2. How to calculate the LCM of 517, 940, 502, 546, 520?
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 517, 940, 502, 546, 520.
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}.