LCM of 871, 684, 377, 874
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 871, 684, 377, 874 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, 684, 377, 874. So, keep reading to learn more.
Given numbers are 871,684,377,874
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 871,684,377,874 is 397374588.
Find LCM of 871,684,377,874 with Prime Factorization
| 2 | 871, 684, 377, 874 |
| 13 | 871, 342, 377, 437 |
| 19 | 67, 342, 29, 437 |
| 67, 18, 29, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 19 x 67 x 18 x 29 x 23 = 397374588
Therefore, the lowest common multiple of 871,684,377,874 is 397374588.
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 684 x 377 x 874 = 196303046472
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
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
377 : 1, 13, 29, 377
874 : 1, 2, 19, 23, 38, 46, 437, 874
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 871,684,377,874, is 1.
Now, the common factors can be found like this.
871:13x 67
684:2x 2x 3x 3x 19
377:13x 29
874:2x 19x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 19 = 494
Therefore, the value for common factors is 494.
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 = 196303046472/(1x494)
LCM = 196303046472/494
LCM = 397374588
Thus, we can understand that the LCM of 871,684,377,874 is 397374588.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 871, 684, 377, 874
1. What is the LCM of 871, 684, 377, 874?
Answer: LCM of 871, 684, 377, 874 is 397374588.
2. How to calculate the LCM of 871, 684, 377, 874?
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, 684, 377, 874.
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}.