Find the LCM of 502, 510, 704, 423, 538 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 502, 510, 704, 423, 538. So, keep reading to learn more.
Given numbers are 502,510,704,423,538
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 502,510,704,423,538 is 1709062534080.
Find LCM of 502,510,704,423,538 with Prime Factorization
2 | 502, 510, 704, 423, 538 |
3 | 251, 255, 352, 423, 269 |
251, 85, 352, 141, 269 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 251 x 85 x 352 x 141 x 269 = 1709062534080
Therefore, the lowest common multiple of 502,510,704,423,538 is 1709062534080.
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.
502 x 510 x 704 x 423 x 538 = 41017500817920
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.
502 : 1, 2, 251, 502
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
423 : 1, 3, 9, 47, 141, 423
538 : 1, 2, 269, 538
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 502,510,704,423,538, is 1.
Now, the common factors can be found like this.
502:2x 251
510:2x 3x 5x 17
704:2x 2x 2x 2x 2x 2x 11
423:3x 3x 47
538:2x 269
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 3 = 24
Therefore, the value for common factors is 24.
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 = 41017500817920/(1x24)
LCM = 41017500817920/24
LCM = 1709062534080
Thus, we can understand that the LCM of 502,510,704,423,538 is 1709062534080.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 502, 510, 704, 423, 538?
Answer: LCM of 502, 510, 704, 423, 538 is 1709062534080.
2. How to calculate the LCM of 502, 510, 704, 423, 538?
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 502, 510, 704, 423, 538.
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}.