LCM of 876, 468, 893, 902, 791
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 876, 468, 893, 902, 791 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, 468, 893, 902, 791. So, keep reading to learn more.
Given numbers are 876,468,893,902,791
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 876,468,893,902,791 is 10883615674932.
Find LCM of 876,468,893,902,791 with Prime Factorization
| 2 | 876, 468, 893, 902, 791 |
| 2 | 438, 234, 893, 451, 791 |
| 3 | 219, 117, 893, 451, 791 |
| 73, 39, 893, 451, 791 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 73 x 39 x 893 x 451 x 791 = 10883615674932
Therefore, the lowest common multiple of 876,468,893,902,791 is 10883615674932.
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 468 x 893 x 902 x 791 = 261206776198368
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
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
893 : 1, 19, 47, 893
902 : 1, 2, 11, 22, 41, 82, 451, 902
791 : 1, 7, 113, 791
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 876,468,893,902,791, is 1.
Now, the common factors can be found like this.
876:2x 2x 3x 73
468:2x 2x 3x 3x 13
893:19x 47
902:2x 11x 41
791:7x 113
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 3 = 24
Therefore, the value for common factors is 24.
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 = 261206776198368/(1x24)
LCM = 261206776198368/24
LCM = 10883615674932
Thus, we can understand that the LCM of 876,468,893,902,791 is 10883615674932.
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FAQs on LCM of 876, 468, 893, 902, 791
1. What is the LCM of 876, 468, 893, 902, 791?
Answer: LCM of 876, 468, 893, 902, 791 is 10883615674932.
2. How to calculate the LCM of 876, 468, 893, 902, 791?
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, 468, 893, 902, 791.
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}.