LCM of 871, 986, 363, 533, 861
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 871, 986, 363, 533, 861 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 871, 986, 363, 533, 861. So, keep reading to learn more.
Given numbers are 871,986,363,533,861
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 871,986,363,533,861 is 89471267886.
Find LCM of 871,986,363,533,861 with Prime Factorization
| 3 | 871, 986, 363, 533, 861 |
| 13 | 871, 986, 121, 533, 287 |
| 41 | 67, 986, 121, 41, 287 |
| 67, 986, 121, 1, 7 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 41 x 67 x 986 x 121 x 1 x 7 = 89471267886
Therefore, the lowest common multiple of 871,986,363,533,861 is 89471267886.
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.
871 x 986 x 363 x 533 x 861 = 143064557349714
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.
871 : 1, 13, 67, 871
986 : 1, 2, 17, 29, 34, 58, 493, 986
363 : 1, 3, 11, 33, 121, 363
533 : 1, 13, 41, 533
861 : 1, 3, 7, 21, 41, 123, 287, 861
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 871,986,363,533,861, is 1.
Now, the common factors can be found like this.
871:13x 67
986:2x 17x 29
363:3x 11x 11
533:13x 41
861:3x 7x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 13x 41 = 1599
Therefore, the value for common factors is 1599.
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 = 143064557349714/(1x1599)
LCM = 143064557349714/1599
LCM = 89471267886
Thus, we can understand that the LCM of 871,986,363,533,861 is 89471267886.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 871, 986, 363, 533, 861
1. What is the LCM of 871, 986, 363, 533, 861?
Answer: LCM of 871, 986, 363, 533, 861 is 89471267886.
2. How to calculate the LCM of 871, 986, 363, 533, 861?
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 871, 986, 363, 533, 861.
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}.