Find the LCM of 548, 926, 768, 484, 940 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 548, 926, 768, 484, 940. So, keep reading to learn more.
Given numbers are 548,926,768,484,940
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 548,926,768,484,940 is 1385211252480.
Find LCM of 548,926,768,484,940 with Prime Factorization
2 | 548, 926, 768, 484, 940 |
2 | 274, 463, 384, 242, 470 |
137, 463, 192, 121, 235 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 137 x 463 x 192 x 121 x 235 = 1385211252480
Therefore, the lowest common multiple of 548,926,768,484,940 is 1385211252480.
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.
548 x 926 x 768 x 484 x 940 = 177307040317440
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.
548 : 1, 2, 4, 137, 274, 548
926 : 1, 2, 463, 926
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 548,926,768,484,940, is 2.
Now, the common factors can be found like this.
548:2x 2x 137
926:2x 463
768:2x 2x 2x 2x 2x 2x 2x 2x 3
484:2x 2x 11x 11
940:2x 2x 5x 47
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 2x 2 = 64
Therefore, the value for common factors is 64.
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 = 177307040317440/(2x64)
LCM = 177307040317440/128
LCM = 1385211252480
Thus, we can understand that the LCM of 548,926,768,484,940 is 1385211252480.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 548, 926, 768, 484, 940?
Answer: LCM of 548, 926, 768, 484, 940 is 1385211252480.
2. How to calculate the LCM of 548, 926, 768, 484, 940?
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 548, 926, 768, 484, 940.
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}.