Find the LCM of 502, 753, 246, 390, 523 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, 753, 246, 390, 523. So, keep reading to learn more.
Given numbers are 502,753,246,390,523
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 502,753,246,390,523 is 2099055270.
Find LCM of 502,753,246,390,523 with Prime Factorization
2 | 502, 753, 246, 390, 523 |
3 | 251, 753, 123, 195, 523 |
251 | 251, 251, 41, 65, 523 |
1, 1, 41, 65, 523 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 251 x 1 x 1 x 41 x 65 x 523 = 2099055270
Therefore, the lowest common multiple of 502,753,246,390,523 is 2099055270.
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 753 x 246 x 390 x 523 = 18967063419720
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
753 : 1, 3, 251, 753
246 : 1, 2, 3, 6, 41, 82, 123, 246
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
523 : 1, 523
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 502,753,246,390,523, is 1.
Now, the common factors can be found like this.
502:2x 251
753:3x 251
246:2x 3x 41
390:2x 3x 5x 13
523:523
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 3x 3x 251 = 9036
Therefore, the value for common factors is 9036.
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 = 18967063419720/(1x9036)
LCM = 18967063419720/9036
LCM = 2099055270
Thus, we can understand that the LCM of 502,753,246,390,523 is 2099055270.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 502, 753, 246, 390, 523?
Answer: LCM of 502, 753, 246, 390, 523 is 2099055270.
2. How to calculate the LCM of 502, 753, 246, 390, 523?
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, 753, 246, 390, 523.
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}.