Find the LCM of 102, 772, 814, 271, 309 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 102, 772, 814, 271, 309. So, keep reading to learn more.
Given numbers are 102,772,814,271,309
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 102,772,814,271,309 is 447289188852.
Find LCM of 102,772,814,271,309 with Prime Factorization
2 | 102, 772, 814, 271, 309 |
3 | 51, 386, 407, 271, 309 |
17, 386, 407, 271, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 386 x 407 x 271 x 103 = 447289188852
Therefore, the lowest common multiple of 102,772,814,271,309 is 447289188852.
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.
102 x 772 x 814 x 271 x 309 = 5367470266224
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.
102 : 1, 2, 3, 6, 17, 34, 51, 102
772 : 1, 2, 4, 193, 386, 772
814 : 1, 2, 11, 22, 37, 74, 407, 814
271 : 1, 271
309 : 1, 3, 103, 309
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 102,772,814,271,309, is 1.
Now, the common factors can be found like this.
102:2x 3x 17
772:2x 2x 193
814:2x 11x 37
271:271
309:3x 103
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 3 = 12
Therefore, the value for common factors is 12.
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 = 5367470266224/(1x12)
LCM = 5367470266224/12
LCM = 447289188852
Thus, we can understand that the LCM of 102,772,814,271,309 is 447289188852.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 102, 772, 814, 271, 309?
Answer: LCM of 102, 772, 814, 271, 309 is 447289188852.
2. How to calculate the LCM of 102, 772, 814, 271, 309?
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 102, 772, 814, 271, 309.
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}.