Find the LCM of 531, 874, 586, 985, 940 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 531, 874, 586, 985, 940. So, keep reading to learn more.
Given numbers are 531,874,586,985,940
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 531,874,586,985,940 is 12590345793780.
Find LCM of 531,874,586,985,940 with Prime Factorization
2 | 531, 874, 586, 985, 940 |
5 | 531, 437, 293, 985, 470 |
531, 437, 293, 197, 94 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 531 x 437 x 293 x 197 x 94 = 12590345793780
Therefore, the lowest common multiple of 531,874,586,985,940 is 12590345793780.
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.
531 x 874 x 586 x 985 x 940 = 251806915875600
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.
531 : 1, 3, 9, 59, 177, 531
874 : 1, 2, 19, 23, 38, 46, 437, 874
586 : 1, 2, 293, 586
985 : 1, 5, 197, 985
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 531,874,586,985,940, is 1.
Now, the common factors can be found like this.
531:3x 3x 59
874:2x 19x 23
586:2x 293
985:5x 197
940:2x 2x 5x 47
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 5 = 20
Therefore, the value for common factors is 20.
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 = 251806915875600/(1x20)
LCM = 251806915875600/20
LCM = 12590345793780
Thus, we can understand that the LCM of 531,874,586,985,940 is 12590345793780.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 531, 874, 586, 985, 940?
Answer: LCM of 531, 874, 586, 985, 940 is 12590345793780.
2. How to calculate the LCM of 531, 874, 586, 985, 940?
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 531, 874, 586, 985, 940.
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}.