Find the LCM of 806, 524, 871, 480, 331 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 806, 524, 871, 480, 331. So, keep reading to learn more.
Given numbers are 806,524,871,480,331
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 806,524,871,480,331 is 561979373280.
Find LCM of 806,524,871,480,331 with Prime Factorization
2 | 806, 524, 871, 480, 331 |
2 | 403, 262, 871, 240, 331 |
13 | 403, 131, 871, 120, 331 |
31, 131, 67, 120, 331 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 31 x 131 x 67 x 120 x 331 = 561979373280
Therefore, the lowest common multiple of 806,524,871,480,331 is 561979373280.
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.
806 x 524 x 871 x 480 x 331 = 58445854821120
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.
806 : 1, 2, 13, 26, 31, 62, 403, 806
524 : 1, 2, 4, 131, 262, 524
871 : 1, 13, 67, 871
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
331 : 1, 331
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 806,524,871,480,331, is 1.
Now, the common factors can be found like this.
806:2x 13x 31
524:2x 2x 131
871:13x 67
480:2x 2x 2x 2x 2x 3x 5
331:331
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 13 = 104
Therefore, the value for common factors is 104.
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 = 58445854821120/(1x104)
LCM = 58445854821120/104
LCM = 561979373280
Thus, we can understand that the LCM of 806,524,871,480,331 is 561979373280.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 806, 524, 871, 480, 331?
Answer: LCM of 806, 524, 871, 480, 331 is 561979373280.
2. How to calculate the LCM of 806, 524, 871, 480, 331?
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 806, 524, 871, 480, 331.
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}.