Find the LCM of 125, 338, 676, 827 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 125, 338, 676, 827. So, keep reading to learn more.
Given numbers are 125,338,676,827
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 125,338,676,827 is 69881500.
Find LCM of 125,338,676,827 with Prime Factorization
2 | 125, 338, 676, 827 |
13 | 125, 169, 338, 827 |
13 | 125, 13, 26, 827 |
125, 1, 2, 827 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 13 x 125 x 1 x 2 x 827 = 69881500
Therefore, the lowest common multiple of 125,338,676,827 is 69881500.
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.
125 x 338 x 676 x 827 = 23619947000
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.
125 : 1, 5, 25, 125
338 : 1, 2, 13, 26, 169, 338
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
827 : 1, 827
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 125,338,676,827, is 1.
Now, the common factors can be found like this.
125:5x 5x 5
338:2x 13x 13
676:2x 2x 13x 13
827:827
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 13 = 338
Therefore, the value for common factors is 338.
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 = 23619947000/(1x338)
LCM = 23619947000/338
LCM = 69881500
Thus, we can understand that the LCM of 125,338,676,827 is 69881500.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 125, 338, 676, 827?
Answer: LCM of 125, 338, 676, 827 is 69881500.
2. How to calculate the LCM of 125, 338, 676, 827?
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 125, 338, 676, 827.
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}.