LCM of 885, 991, 489, 826, 476
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 885, 991, 489, 826, 476 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 885, 991, 489, 826, 476. So, keep reading to learn more.
Given numbers are 885,991,489,826,476
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 885,991,489,826,476 is 68047391580.
Find LCM of 885,991,489,826,476 with Prime Factorization
| 2 | 885, 991, 489, 826, 476 |
| 3 | 885, 991, 489, 413, 238 |
| 7 | 295, 991, 163, 413, 238 |
| 59 | 295, 991, 163, 59, 34 |
| 5, 991, 163, 1, 34 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 59 x 5 x 991 x 163 x 1 x 34 = 68047391580
Therefore, the lowest common multiple of 885,991,489,826,476 is 68047391580.
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.
885 x 991 x 489 x 826 x 476 = 168621436335240
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.
885 : 1, 3, 5, 15, 59, 177, 295, 885
991 : 1, 991
489 : 1, 3, 163, 489
826 : 1, 2, 7, 14, 59, 118, 413, 826
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 885,991,489,826,476, is 1.
Now, the common factors can be found like this.
885:3x 5x 59
991:991
489:3x 163
826:2x 7x 59
476:2x 2x 7x 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 3x 7x 59 = 2478
Therefore, the value for common factors is 2478.
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 = 168621436335240/(1x2478)
LCM = 168621436335240/2478
LCM = 68047391580
Thus, we can understand that the LCM of 885,991,489,826,476 is 68047391580.
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FAQs on LCM of 885, 991, 489, 826, 476
1. What is the LCM of 885, 991, 489, 826, 476?
Answer: LCM of 885, 991, 489, 826, 476 is 68047391580.
2. How to calculate the LCM of 885, 991, 489, 826, 476?
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 885, 991, 489, 826, 476.
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}.