Find the LCM of 633, 557, 134, 134, 313 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 633, 557, 134, 134, 313. So, keep reading to learn more.
Given numbers are 633,557,134,134,313
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 633,557,134,134,313 is 14787952302.
Find LCM of 633,557,134,134,313 with Prime Factorization
2 | 633, 557, 134, 134, 313 |
67 | 633, 557, 67, 67, 313 |
633, 557, 1, 1, 313 |
Multiply the prime numbers at the bottom and the left side.
2 x 67 x 633 x 557 x 1 x 1 x 313 = 14787952302
Therefore, the lowest common multiple of 633,557,134,134,313 is 14787952302.
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.
633 x 557 x 134 x 134 x 313 = 1981585608468
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.
633 : 1, 3, 211, 633
557 : 1, 557
134 : 1, 2, 67, 134
134 : 1, 2, 67, 134
313 : 1, 313
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 633,557,134,134,313, is 1.
Now, the common factors can be found like this.
633:3x 211
557:557
134:2x 67
134:2x 67
313:313
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 67 = 134
Therefore, the value for common factors is 134.
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 = 1981585608468/(1x134)
LCM = 1981585608468/134
LCM = 14787952302
Thus, we can understand that the LCM of 633,557,134,134,313 is 14787952302.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 633, 557, 134, 134, 313?
Answer: LCM of 633, 557, 134, 134, 313 is 14787952302.
2. How to calculate the LCM of 633, 557, 134, 134, 313?
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 633, 557, 134, 134, 313.
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}.