Find the LCM of 430, 251, 251, 797, 901 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 430, 251, 251, 797, 901. So, keep reading to learn more.
Given numbers are 430,251,251,797,901
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 430,251,251,797,901 is 77504209210.
Find LCM of 430,251,251,797,901 with Prime Factorization
251 | 430, 251, 251, 797, 901 |
430, 1, 1, 797, 901 |
Multiply the prime numbers at the bottom and the left side.
251 x 430 x 1 x 1 x 797 x 901 = 77504209210
Therefore, the lowest common multiple of 430,251,251,797,901 is 77504209210.
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.
430 x 251 x 251 x 797 x 901 = 19453556511710
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.
430 : 1, 2, 5, 10, 43, 86, 215, 430
251 : 1, 251
251 : 1, 251
797 : 1, 797
901 : 1, 17, 53, 901
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 430,251,251,797,901, is 1.
Now, the common factors can be found like this.
430:2x 5x 43
251:251
251:251
797:797
901:17x 53
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 = 19453556511710/(1x251)
LCM = 19453556511710/251
LCM = 77504209210
Thus, we can understand that the LCM of 430,251,251,797,901 is 77504209210.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 430, 251, 251, 797, 901?
Answer: LCM of 430, 251, 251, 797, 901 is 77504209210.
2. How to calculate the LCM of 430, 251, 251, 797, 901?
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 430, 251, 251, 797, 901.
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}.