Find the LCM of 514, 753, 131, 251 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 514, 753, 131, 251. So, keep reading to learn more.
Given numbers are 514,753,131,251
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 514,753,131,251 is 50702502.
Find LCM of 514,753,131,251 with Prime Factorization
251 | 514, 753, 131, 251 |
514, 3, 131, 1 |
Multiply the prime numbers at the bottom and the left side.
251 x 514 x 3 x 131 x 1 = 50702502
Therefore, the lowest common multiple of 514,753,131,251 is 50702502.
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.
514 x 753 x 131 x 251 = 12726328002
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.
514 : 1, 2, 257, 514
753 : 1, 3, 251, 753
131 : 1, 131
251 : 1, 251
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,753,131,251, is 1.
Now, the common factors can be found like this.
514:2x 257
753:3x 251
131:131
251:251
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
251 = 251
Therefore, the value for common factors is 251.
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 = 12726328002/(1x251)
LCM = 12726328002/251
LCM = 50702502
Thus, we can understand that the LCM of 514,753,131,251 is 50702502.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 514, 753, 131, 251?
Answer: LCM of 514, 753, 131, 251 is 50702502.
2. How to calculate the LCM of 514, 753, 131, 251?
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 514, 753, 131, 251.
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}.