LCM of 882, 381, 507, 584, 923
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 882, 381, 507, 584, 923 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, 381, 507, 584, 923. So, keep reading to learn more.
Given numbers are 882,381,507,584,923
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 882,381,507,584,923 is 392464347912.
Find LCM of 882,381,507,584,923 with Prime Factorization
| 2 | 882, 381, 507, 584, 923 |
| 3 | 441, 381, 507, 292, 923 |
| 13 | 147, 127, 169, 292, 923 |
| 147, 127, 13, 292, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 147 x 127 x 13 x 292 x 71 = 392464347912
Therefore, the lowest common multiple of 882,381,507,584,923 is 392464347912.
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 381 x 507 x 584 x 923 = 91836657411408
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
381 : 1, 3, 127, 381
507 : 1, 3, 13, 39, 169, 507
584 : 1, 2, 4, 8, 73, 146, 292, 584
923 : 1, 13, 71, 923
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 882,381,507,584,923, is 1.
Now, the common factors can be found like this.
882:2x 3x 3x 7x 7
381:3x 127
507:3x 13x 13
584:2x 2x 2x 73
923:13x 71
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 13 = 234
Therefore, the value for common factors is 234.
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 = 91836657411408/(1x234)
LCM = 91836657411408/234
LCM = 392464347912
Thus, we can understand that the LCM of 882,381,507,584,923 is 392464347912.
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FAQs on LCM of 882, 381, 507, 584, 923
1. What is the LCM of 882, 381, 507, 584, 923?
Answer: LCM of 882, 381, 507, 584, 923 is 392464347912.
2. How to calculate the LCM of 882, 381, 507, 584, 923?
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, 381, 507, 584, 923.
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}.