LCM of 876, 913, 649, 923, 129
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 876, 913, 649, 923, 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 876, 913, 649, 923, 129. So, keep reading to learn more.
Given numbers are 876,913,649,923,129
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 876,913,649,923,129 is 1872824369988.
Find LCM of 876,913,649,923,129 with Prime Factorization
| 3 | 876, 913, 649, 923, 129 |
| 11 | 292, 913, 649, 923, 43 |
| 292, 83, 59, 923, 43 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 292 x 83 x 59 x 923 x 43 = 1872824369988
Therefore, the lowest common multiple of 876,913,649,923,129 is 1872824369988.
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.
876 x 913 x 649 x 923 x 129 = 61803204209604
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.
876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
913 : 1, 11, 83, 913
649 : 1, 11, 59, 649
923 : 1, 13, 71, 923
129 : 1, 3, 43, 129
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 876,913,649,923,129, is 1.
Now, the common factors can be found like this.
876:2x 2x 3x 73
913:11x 83
649:11x 59
923:13x 71
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 11 = 33
Therefore, the value for common factors is 33.
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 = 61803204209604/(1x33)
LCM = 61803204209604/33
LCM = 1872824369988
Thus, we can understand that the LCM of 876,913,649,923,129 is 1872824369988.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 876, 913, 649, 923, 129
1. What is the LCM of 876, 913, 649, 923, 129?
Answer: LCM of 876, 913, 649, 923, 129 is 1872824369988.
2. How to calculate the LCM of 876, 913, 649, 923, 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 876, 913, 649, 923, 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}.