Find the LCM of 548, 828, 431, 204, 134 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, 828, 431, 204, 134. So, keep reading to learn more.
Given numbers are 548,828,431,204,134
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 548,828,431,204,134 is 55686753324.
Find LCM of 548,828,431,204,134 with Prime Factorization
2 | 548, 828, 431, 204, 134 |
2 | 274, 414, 431, 102, 67 |
3 | 137, 207, 431, 51, 67 |
137, 69, 431, 17, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 137 x 69 x 431 x 17 x 67 = 55686753324
Therefore, the lowest common multiple of 548,828,431,204,134 is 55686753324.
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 828 x 431 x 204 x 134 = 5345928319104
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
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
431 : 1, 431
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
134 : 1, 2, 67, 134
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 548,828,431,204,134, is 1.
Now, the common factors can be found like this.
548:2x 2x 137
828:2x 2x 3x 3x 23
431:431
204:2x 2x 3x 17
134:2x 67
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 3 = 96
Therefore, the value for common factors is 96.
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 = 5345928319104/(1x96)
LCM = 5345928319104/96
LCM = 55686753324
Thus, we can understand that the LCM of 548,828,431,204,134 is 55686753324.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 548, 828, 431, 204, 134?
Answer: LCM of 548, 828, 431, 204, 134 is 55686753324.
2. How to calculate the LCM of 548, 828, 431, 204, 134?
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, 828, 431, 204, 134.
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}.