LCM of 887, 996, 561, 916, 583
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 887, 996, 561, 916, 583 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 887, 996, 561, 916, 583. So, keep reading to learn more.
Given numbers are 887,996,561,916,583
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 887,996,561,916,583 is 2005099444788.
Find LCM of 887,996,561,916,583 with Prime Factorization
| 2 | 887, 996, 561, 916, 583 |
| 2 | 887, 498, 561, 458, 583 |
| 3 | 887, 249, 561, 229, 583 |
| 11 | 887, 83, 187, 229, 583 |
| 887, 83, 17, 229, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 887 x 83 x 17 x 229 x 53 = 2005099444788
Therefore, the lowest common multiple of 887,996,561,916,583 is 2005099444788.
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.
887 x 996 x 561 x 916 x 583 = 264673126712016
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.
887 : 1, 887
996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
561 : 1, 3, 11, 17, 33, 51, 187, 561
916 : 1, 2, 4, 229, 458, 916
583 : 1, 11, 53, 583
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 887,996,561,916,583, is 1.
Now, the common factors can be found like this.
887:887
996:2x 2x 3x 83
561:3x 11x 17
916:2x 2x 229
583:11x 53
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 3x 11 = 132
Therefore, the value for common factors is 132.
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 = 264673126712016/(1x132)
LCM = 264673126712016/132
LCM = 2005099444788
Thus, we can understand that the LCM of 887,996,561,916,583 is 2005099444788.
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FAQs on LCM of 887, 996, 561, 916, 583
1. What is the LCM of 887, 996, 561, 916, 583?
Answer: LCM of 887, 996, 561, 916, 583 is 2005099444788.
2. How to calculate the LCM of 887, 996, 561, 916, 583?
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 887, 996, 561, 916, 583.
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}.