LCM of 516, 762, 696, 871
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 516, 762, 696, 871 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 516, 762, 696, 871. So, keep reading to learn more.
Given numbers are 516,762,696,871
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 516,762,696,871 is 3310545576.
Find LCM of 516,762,696,871 with Prime Factorization
| 2 | 516, 762, 696, 871 |
| 2 | 258, 381, 348, 871 |
| 3 | 129, 381, 174, 871 |
| 43, 127, 58, 871 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 43 x 127 x 58 x 871 = 3310545576
Therefore, the lowest common multiple of 516,762,696,871 is 3310545576.
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.
516 x 762 x 696 x 871 = 238359281472
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.
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
762 : 1, 2, 3, 6, 127, 254, 381, 762
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
871 : 1, 13, 67, 871
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 516,762,696,871, is 1.
Now, the common factors can be found like this.
516:2x 2x 3x 43
762:2x 3x 127
696:2x 2x 2x 3x 29
871:13x 67
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 2x 3x 3 = 72
Therefore, the value for common factors is 72.
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 = 238359281472/(1x72)
LCM = 238359281472/72
LCM = 3310545576
Thus, we can understand that the LCM of 516,762,696,871 is 3310545576.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 516, 762, 696, 871
1. What is the LCM of 516, 762, 696, 871?
Answer: LCM of 516, 762, 696, 871 is 3310545576.
2. How to calculate the LCM of 516, 762, 696, 871?
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 516, 762, 696, 871.
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}.