Find the LCM of 554, 338, 368, 179, 676 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 554, 338, 368, 179, 676. So, keep reading to learn more.
Given numbers are 554,338,368,179,676
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 554,338,368,179,676 is 3083665936.
Find LCM of 554,338,368,179,676 with Prime Factorization
2 | 554, 338, 368, 179, 676 |
2 | 277, 169, 184, 179, 338 |
13 | 277, 169, 92, 179, 169 |
13 | 277, 13, 92, 179, 13 |
277, 1, 92, 179, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 13 x 277 x 1 x 92 x 179 x 1 = 3083665936
Therefore, the lowest common multiple of 554,338,368,179,676 is 3083665936.
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.
554 x 338 x 368 x 179 x 676 = 8338232690944
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.
554 : 1, 2, 277, 554
338 : 1, 2, 13, 26, 169, 338
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
179 : 1, 179
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 554,338,368,179,676, is 1.
Now, the common factors can be found like this.
554:2x 277
338:2x 13x 13
368:2x 2x 2x 2x 23
179:179
676:2x 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 2x 2x 13x 13 = 2704
Therefore, the value for common factors is 2704.
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 = 8338232690944/(1x2704)
LCM = 8338232690944/2704
LCM = 3083665936
Thus, we can understand that the LCM of 554,338,368,179,676 is 3083665936.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 554, 338, 368, 179, 676?
Answer: LCM of 554, 338, 368, 179, 676 is 3083665936.
2. How to calculate the LCM of 554, 338, 368, 179, 676?
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 554, 338, 368, 179, 676.
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}.