Find the LCM of 531, 731, 215, 489, 977 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, 731, 215, 489, 977. So, keep reading to learn more.
Given numbers are 531,731,215,489,977
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 531,731,215,489,977 is 309075137055.
Find LCM of 531,731,215,489,977 with Prime Factorization
3 | 531, 731, 215, 489, 977 |
43 | 177, 731, 215, 163, 977 |
177, 17, 5, 163, 977 |
Multiply the prime numbers at the bottom and the left side.
3 x 43 x 177 x 17 x 5 x 163 x 977 = 309075137055
Therefore, the lowest common multiple of 531,731,215,489,977 is 309075137055.
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 731 x 215 x 489 x 977 = 39870692680095
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
731 : 1, 17, 43, 731
215 : 1, 5, 43, 215
489 : 1, 3, 163, 489
977 : 1, 977
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 531,731,215,489,977, is 1.
Now, the common factors can be found like this.
531:3x 3x 59
731:17x 43
215:5x 43
489:3x 163
977:977
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 43 = 129
Therefore, the value for common factors is 129.
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 = 39870692680095/(1x129)
LCM = 39870692680095/129
LCM = 309075137055
Thus, we can understand that the LCM of 531,731,215,489,977 is 309075137055.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 531, 731, 215, 489, 977?
Answer: LCM of 531, 731, 215, 489, 977 is 309075137055.
2. How to calculate the LCM of 531, 731, 215, 489, 977?
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, 731, 215, 489, 977.
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}.