Find the LCM of 549, 480, 331, 106, 338 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 549, 480, 331, 106, 338. So, keep reading to learn more.
Given numbers are 549,480,331,106,338
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 549,480,331,106,338 is 260425133280.
Find LCM of 549,480,331,106,338 with Prime Factorization
2 | 549, 480, 331, 106, 338 |
3 | 549, 240, 331, 53, 169 |
183, 80, 331, 53, 169 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 183 x 80 x 331 x 53 x 169 = 260425133280
Therefore, the lowest common multiple of 549,480,331,106,338 is 260425133280.
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.
549 x 480 x 331 x 106 x 338 = 3125101599360
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.
549 : 1, 3, 9, 61, 183, 549
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
331 : 1, 331
106 : 1, 2, 53, 106
338 : 1, 2, 13, 26, 169, 338
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 549,480,331,106,338, is 1.
Now, the common factors can be found like this.
549:3x 3x 61
480:2x 2x 2x 2x 2x 3x 5
331:331
106:2x 53
338:2x 13x 13
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 3 = 12
Therefore, the value for common factors is 12.
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 = 3125101599360/(1x12)
LCM = 3125101599360/12
LCM = 260425133280
Thus, we can understand that the LCM of 549,480,331,106,338 is 260425133280.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 549, 480, 331, 106, 338?
Answer: LCM of 549, 480, 331, 106, 338 is 260425133280.
2. How to calculate the LCM of 549, 480, 331, 106, 338?
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 549, 480, 331, 106, 338.
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}.