LCM of 884, 580, 849, 425, 982
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 884, 580, 849, 425, 982 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 884, 580, 849, 425, 982. So, keep reading to learn more.
Given numbers are 884,580,849,425,982
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 884,580,849,425,982 is 267164933100.
Find LCM of 884,580,849,425,982 with Prime Factorization
| 2 | 884, 580, 849, 425, 982 |
| 2 | 442, 290, 849, 425, 491 |
| 5 | 221, 145, 849, 425, 491 |
| 17 | 221, 29, 849, 85, 491 |
| 13, 29, 849, 5, 491 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 17 x 13 x 29 x 849 x 5 x 491 = 267164933100
Therefore, the lowest common multiple of 884,580,849,425,982 is 267164933100.
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.
884 x 580 x 849 x 425 x 982 = 181672154508000
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.
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
849 : 1, 3, 283, 849
425 : 1, 5, 17, 25, 85, 425
982 : 1, 2, 491, 982
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 884,580,849,425,982, is 1.
Now, the common factors can be found like this.
884:2x 2x 13x 17
580:2x 2x 5x 29
849:3x 283
425:5x 5x 17
982:2x 491
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 5x 17 = 680
Therefore, the value for common factors is 680.
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 = 181672154508000/(1x680)
LCM = 181672154508000/680
LCM = 267164933100
Thus, we can understand that the LCM of 884,580,849,425,982 is 267164933100.
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FAQs on LCM of 884, 580, 849, 425, 982
1. What is the LCM of 884, 580, 849, 425, 982?
Answer: LCM of 884, 580, 849, 425, 982 is 267164933100.
2. How to calculate the LCM of 884, 580, 849, 425, 982?
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 884, 580, 849, 425, 982.
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}.