Find the LCM of 125, 346, 197, 657, 519 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, 346, 197, 657, 519. So, keep reading to learn more.
Given numbers are 125,346,197,657,519
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 125,346,197,657,519 is 5597804250.
Find LCM of 125,346,197,657,519 with Prime Factorization
3 | 125, 346, 197, 657, 519 |
173 | 125, 346, 197, 219, 173 |
125, 2, 197, 219, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 173 x 125 x 2 x 197 x 219 x 1 = 5597804250
Therefore, the lowest common multiple of 125,346,197,657,519 is 5597804250.
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 346 x 197 x 657 x 519 = 2905260405750
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
346 : 1, 2, 173, 346
197 : 1, 197
657 : 1, 3, 9, 73, 219, 657
519 : 1, 3, 173, 519
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 125,346,197,657,519, is 1.
Now, the common factors can be found like this.
125:5x 5x 5
346:2x 173
197:197
657:3x 3x 73
519:3x 173
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 173 = 519
Therefore, the value for common factors is 519.
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 = 2905260405750/(1x519)
LCM = 2905260405750/519
LCM = 5597804250
Thus, we can understand that the LCM of 125,346,197,657,519 is 5597804250.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 125, 346, 197, 657, 519?
Answer: LCM of 125, 346, 197, 657, 519 is 5597804250.
2. How to calculate the LCM of 125, 346, 197, 657, 519?
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, 346, 197, 657, 519.
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}.