LCM of 882, 873, 930, 279, 771
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 882, 873, 930, 279, 771 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 882, 873, 930, 279, 771. So, keep reading to learn more.
Given numbers are 882,873,930,279,771
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 882,873,930,279,771 is 3408043590.
Find LCM of 882,873,930,279,771 with Prime Factorization
| 2 | 882, 873, 930, 279, 771 |
| 3 | 441, 873, 465, 279, 771 |
| 3 | 147, 291, 155, 93, 257 |
| 31 | 49, 97, 155, 31, 257 |
| 49, 97, 5, 1, 257 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 31 x 49 x 97 x 5 x 1 x 257 = 3408043590
Therefore, the lowest common multiple of 882,873,930,279,771 is 3408043590.
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.
882 x 873 x 930 x 279 x 771 = 154036754180820
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.
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
873 : 1, 3, 9, 97, 291, 873
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
279 : 1, 3, 9, 31, 93, 279
771 : 1, 3, 257, 771
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 882,873,930,279,771, is 3.
Now, the common factors can be found like this.
882:2x 3x 3x 7x 7
873:3x 3x 97
930:2x 3x 5x 31
279:3x 3x 31
771:3x 257
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 3x 3x 31 = 15066
Therefore, the value for common factors is 15066.
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 = 154036754180820/(3x15066)
LCM = 154036754180820/45198
LCM = 3408043590
Thus, we can understand that the LCM of 882,873,930,279,771 is 3408043590.
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FAQs on LCM of 882, 873, 930, 279, 771
1. What is the LCM of 882, 873, 930, 279, 771?
Answer: LCM of 882, 873, 930, 279, 771 is 3408043590.
2. How to calculate the LCM of 882, 873, 930, 279, 771?
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 882, 873, 930, 279, 771.
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}.