LCM of 848, 866, 412, 884, 578
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 848, 866, 412, 884, 578 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 848, 866, 412, 884, 578. So, keep reading to learn more.
Given numbers are 848,866,412,884,578
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 848,866,412,884,578 is 142089559664.
Find LCM of 848,866,412,884,578 with Prime Factorization
| 2 | 848, 866, 412, 884, 578 |
| 2 | 424, 433, 206, 442, 289 |
| 17 | 212, 433, 103, 221, 289 |
| 212, 433, 103, 13, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 17 x 212 x 433 x 103 x 13 x 17 = 142089559664
Therefore, the lowest common multiple of 848,866,412,884,578 is 142089559664.
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.
848 x 866 x 412 x 884 x 578 = 154593440914432
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.
848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
866 : 1, 2, 433, 866
412 : 1, 2, 4, 103, 206, 412
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
578 : 1, 2, 17, 34, 289, 578
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 848,866,412,884,578, is 2.
Now, the common factors can be found like this.
848:2x 2x 2x 2x 53
866:2x 433
412:2x 2x 103
884:2x 2x 13x 17
578:2x 17x 17
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 2x 2x 17 = 544
Therefore, the value for common factors is 544.
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 = 154593440914432/(2x544)
LCM = 154593440914432/1088
LCM = 142089559664
Thus, we can understand that the LCM of 848,866,412,884,578 is 142089559664.
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FAQs on LCM of 848, 866, 412, 884, 578
1. What is the LCM of 848, 866, 412, 884, 578?
Answer: LCM of 848, 866, 412, 884, 578 is 142089559664.
2. How to calculate the LCM of 848, 866, 412, 884, 578?
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 848, 866, 412, 884, 578.
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}.