LCM of 871, 649, 312, 517, 443
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 871, 649, 312, 517, 443 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, 649, 312, 517, 443. So, keep reading to learn more.
Given numbers are 871,649,312,517,443
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 871,649,312,517,443 is 282472177416.
Find LCM of 871,649,312,517,443 with Prime Factorization
| 11 | 871, 649, 312, 517, 443 |
| 13 | 871, 59, 312, 47, 443 |
| 67, 59, 24, 47, 443 |
Multiply the prime numbers at the bottom and the left side.
11 x 13 x 67 x 59 x 24 x 47 x 443 = 282472177416
Therefore, the lowest common multiple of 871,649,312,517,443 is 282472177416.
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 649 x 312 x 517 x 443 = 40393521370488
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
649 : 1, 11, 59, 649
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
517 : 1, 11, 47, 517
443 : 1, 443
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 871,649,312,517,443, is 1.
Now, the common factors can be found like this.
871:13x 67
649:11x 59
312:2x 2x 2x 3x 13
517:11x 47
443:443
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 13 = 143
Therefore, the value for common factors is 143.
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 = 40393521370488/(1x143)
LCM = 40393521370488/143
LCM = 282472177416
Thus, we can understand that the LCM of 871,649,312,517,443 is 282472177416.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 871, 649, 312, 517, 443
1. What is the LCM of 871, 649, 312, 517, 443?
Answer: LCM of 871, 649, 312, 517, 443 is 282472177416.
2. How to calculate the LCM of 871, 649, 312, 517, 443?
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, 649, 312, 517, 443.
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}.