Find the LCM of 814, 134, 148, 988, 209 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 814, 134, 148, 988, 209. So, keep reading to learn more.
Given numbers are 814,134,148,988,209
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 814,134,148,988,209 is 26941772.
Find LCM of 814,134,148,988,209 with Prime Factorization
2 | 814, 134, 148, 988, 209 |
2 | 407, 67, 74, 494, 209 |
11 | 407, 67, 37, 247, 209 |
19 | 37, 67, 37, 247, 19 |
37 | 37, 67, 37, 13, 1 |
1, 67, 1, 13, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 19 x 37 x 1 x 67 x 1 x 13 x 1 = 26941772
Therefore, the lowest common multiple of 814,134,148,988,209 is 26941772.
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.
814 x 134 x 148 x 988 x 209 = 3333451566016
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.
814 : 1, 2, 11, 22, 37, 74, 407, 814
134 : 1, 2, 67, 134
148 : 1, 2, 4, 37, 74, 148
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
209 : 1, 11, 19, 209
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,134,148,988,209, is 1.
Now, the common factors can be found like this.
814:2x 11x 37
134:2x 67
148:2x 2x 37
988:2x 2x 13x 19
209:11x 19
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 2x 11x 19x 37 = 123728
Therefore, the value for common factors is 123728.
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 = 3333451566016/(1x123728)
LCM = 3333451566016/123728
LCM = 26941772
Thus, we can understand that the LCM of 814,134,148,988,209 is 26941772.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 814, 134, 148, 988, 209?
Answer: LCM of 814, 134, 148, 988, 209 is 26941772.
2. How to calculate the LCM of 814, 134, 148, 988, 209?
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 814, 134, 148, 988, 209.
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}.