Find the LCM of 127, 428, 685, 321 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 127, 428, 685, 321. So, keep reading to learn more.
Given numbers are 127,428,685,321
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 127,428,685,321 is 111701580.
Find LCM of 127,428,685,321 with Prime Factorization
107 | 127, 428, 685, 321 |
127, 4, 685, 3 |
Multiply the prime numbers at the bottom and the left side.
107 x 127 x 4 x 685 x 3 = 111701580
Therefore, the lowest common multiple of 127,428,685,321 is 111701580.
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.
127 x 428 x 685 x 321 = 11952069060
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.
127 : 1, 127
428 : 1, 2, 4, 107, 214, 428
685 : 1, 5, 137, 685
321 : 1, 3, 107, 321
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 127,428,685,321, is 1.
Now, the common factors can be found like this.
127:127
428:2x 2x 107
685:5x 137
321:3x 107
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 = 11952069060/(1x107)
LCM = 11952069060/107
LCM = 111701580
Thus, we can understand that the LCM of 127,428,685,321 is 111701580.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 127, 428, 685, 321?
Answer: LCM of 127, 428, 685, 321 is 111701580.
2. How to calculate the LCM of 127, 428, 685, 321?
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 127, 428, 685, 321.
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}.