Find the LCM of 129, 677, 969, 355, 867 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 129, 677, 969, 355, 867. So, keep reading to learn more.
Given numbers are 129,677,969,355,867
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 129,677,969,355,867 is 170238653565.
Find LCM of 129,677,969,355,867 with Prime Factorization
3 | 129, 677, 969, 355, 867 |
17 | 43, 677, 323, 355, 289 |
43, 677, 19, 355, 17 |
Multiply the prime numbers at the bottom and the left side.
3 x 17 x 43 x 677 x 19 x 355 x 17 = 170238653565
Therefore, the lowest common multiple of 129,677,969,355,867 is 170238653565.
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.
129 x 677 x 969 x 355 x 867 = 26046513995445
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.
129 : 1, 3, 43, 129
677 : 1, 677
969 : 1, 3, 17, 19, 51, 57, 323, 969
355 : 1, 5, 71, 355
867 : 1, 3, 17, 51, 289, 867
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 129,677,969,355,867, is 1.
Now, the common factors can be found like this.
129:3x 43
677:677
969:3x 17x 19
355:5x 71
867:3x 17x 17
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 17 = 153
Therefore, the value for common factors is 153.
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 = 26046513995445/(1x153)
LCM = 26046513995445/153
LCM = 170238653565
Thus, we can understand that the LCM of 129,677,969,355,867 is 170238653565.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 129, 677, 969, 355, 867?
Answer: LCM of 129, 677, 969, 355, 867 is 170238653565.
2. How to calculate the LCM of 129, 677, 969, 355, 867?
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 129, 677, 969, 355, 867.
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}.