Find the LCM of 125, 542, 506, 682 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, 542, 506, 682. So, keep reading to learn more.
Given numbers are 125,542,506,682
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 125,542,506,682 is 531363250.
Find LCM of 125,542,506,682 with Prime Factorization
2 | 125, 542, 506, 682 |
11 | 125, 271, 253, 341 |
125, 271, 23, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 125 x 271 x 23 x 31 = 531363250
Therefore, the lowest common multiple of 125,542,506,682 is 531363250.
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 542 x 506 x 682 = 23379983000
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
542 : 1, 2, 271, 542
506 : 1, 2, 11, 22, 23, 46, 253, 506
682 : 1, 2, 11, 22, 31, 62, 341, 682
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 125,542,506,682, is 1.
Now, the common factors can be found like this.
125:5x 5x 5
542:2x 271
506:2x 11x 23
682:2x 11x 31
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 11 = 44
Therefore, the value for common factors is 44.
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 = 23379983000/(1x44)
LCM = 23379983000/44
LCM = 531363250
Thus, we can understand that the LCM of 125,542,506,682 is 531363250.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 125, 542, 506, 682?
Answer: LCM of 125, 542, 506, 682 is 531363250.
2. How to calculate the LCM of 125, 542, 506, 682?
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, 542, 506, 682.
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}.