Find the LCM of 502, 548, 390, 251, 778 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, 548, 390, 251, 778. So, keep reading to learn more.
Given numbers are 502,548,390,251,778
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 502,548,390,251,778 is 10433703540.
Find LCM of 502,548,390,251,778 with Prime Factorization
2 | 502, 548, 390, 251, 778 |
251 | 251, 274, 195, 251, 389 |
1, 274, 195, 1, 389 |
Multiply the prime numbers at the bottom and the left side.
2 x 251 x 1 x 274 x 195 x 1 x 389 = 10433703540
Therefore, the lowest common multiple of 502,548,390,251,778 is 10433703540.
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 548 x 390 x 251 x 778 = 20950876708320
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
548 : 1, 2, 4, 137, 274, 548
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
251 : 1, 251
778 : 1, 2, 389, 778
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 502,548,390,251,778, is 1.
Now, the common factors can be found like this.
502:2x 251
548:2x 2x 137
390:2x 3x 5x 13
251:251
778:2x 389
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 251 = 2008
Therefore, the value for common factors is 2008.
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 = 20950876708320/(1x2008)
LCM = 20950876708320/2008
LCM = 10433703540
Thus, we can understand that the LCM of 502,548,390,251,778 is 10433703540.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 502, 548, 390, 251, 778?
Answer: LCM of 502, 548, 390, 251, 778 is 10433703540.
2. How to calculate the LCM of 502, 548, 390, 251, 778?
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, 548, 390, 251, 778.
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}.