Find the LCM of 214, 959, 963, 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 214, 959, 963, 251. So, keep reading to learn more.
Given numbers are 214,959,963,251
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 214,959,963,251 is 463605534.
Find LCM of 214,959,963,251 with Prime Factorization
107 | 214, 959, 963, 251 |
2, 959, 9, 251 |
Multiply the prime numbers at the bottom and the left side.
107 x 2 x 959 x 9 x 251 = 463605534
Therefore, the lowest common multiple of 214,959,963,251 is 463605534.
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.
214 x 959 x 963 x 251 = 49605792138
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.
214 : 1, 2, 107, 214
959 : 1, 7, 137, 959
963 : 1, 3, 9, 107, 321, 963
251 : 1, 251
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,959,963,251, is 1.
Now, the common factors can be found like this.
214:2x 107
959:7x 137
963:3x 3x 107
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.
107 = 107
Therefore, the value for common factors is 107.
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 = 49605792138/(1x107)
LCM = 49605792138/107
LCM = 463605534
Thus, we can understand that the LCM of 214,959,963,251 is 463605534.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 214, 959, 963, 251?
Answer: LCM of 214, 959, 963, 251 is 463605534.
2. How to calculate the LCM of 214, 959, 963, 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 214, 959, 963, 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}.