Find the LCM of 516, 936, 722, 881 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, 936, 722, 881. So, keep reading to learn more.
Given numbers are 516,936,722,881
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 516,936,722,881 is 12800514168.
Find LCM of 516,936,722,881 with Prime Factorization
2 | 516, 936, 722, 881 |
2 | 258, 468, 361, 881 |
3 | 129, 234, 361, 881 |
43, 78, 361, 881 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 43 x 78 x 361 x 881 = 12800514168
Therefore, the lowest common multiple of 516,936,722,881 is 12800514168.
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 936 x 722 x 881 = 307212340032
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
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
722 : 1, 2, 19, 38, 361, 722
881 : 1, 881
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 516,936,722,881, is 1.
Now, the common factors can be found like this.
516:2x 2x 3x 43
936:2x 2x 2x 3x 3x 13
722:2x 19x 19
881:881
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 3 = 24
Therefore, the value for common factors is 24.
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 = 307212340032/(1x24)
LCM = 307212340032/24
LCM = 12800514168
Thus, we can understand that the LCM of 516,936,722,881 is 12800514168.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 516, 936, 722, 881?
Answer: LCM of 516, 936, 722, 881 is 12800514168.
2. How to calculate the LCM of 516, 936, 722, 881?
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, 936, 722, 881.
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}.