Find the LCM of 691, 171, 566, 849, 129 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 691, 171, 566, 849, 129. So, keep reading to learn more.
Given numbers are 691,171,566,849,129
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 691,171,566,849,129 is 2875802418.
Find LCM of 691,171,566,849,129 with Prime Factorization
3 | 691, 171, 566, 849, 129 |
283 | 691, 57, 566, 283, 43 |
691, 57, 2, 1, 43 |
Multiply the prime numbers at the bottom and the left side.
3 x 283 x 691 x 57 x 2 x 1 x 43 = 2875802418
Therefore, the lowest common multiple of 691,171,566,849,129 is 2875802418.
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.
691 x 171 x 566 x 849 x 129 = 7324668758646
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.
691 : 1, 691
171 : 1, 3, 9, 19, 57, 171
566 : 1, 2, 283, 566
849 : 1, 3, 283, 849
129 : 1, 3, 43, 129
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 691,171,566,849,129, is 1.
Now, the common factors can be found like this.
691:691
171:3x 3x 19
566:2x 283
849:3x 283
129:3x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 283 = 2547
Therefore, the value for common factors is 2547.
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 = 7324668758646/(1x2547)
LCM = 7324668758646/2547
LCM = 2875802418
Thus, we can understand that the LCM of 691,171,566,849,129 is 2875802418.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 691, 171, 566, 849, 129?
Answer: LCM of 691, 171, 566, 849, 129 is 2875802418.
2. How to calculate the LCM of 691, 171, 566, 849, 129?
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 691, 171, 566, 849, 129.
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}.