Find the LCM of 510, 591, 102, 731, 369 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 510, 591, 102, 731, 369. So, keep reading to learn more.
Given numbers are 510,591,102,731,369
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 510,591,102,731,369 is 531385830.
Find LCM of 510,591,102,731,369 with Prime Factorization
2 | 510, 591, 102, 731, 369 |
3 | 255, 591, 51, 731, 369 |
17 | 85, 197, 17, 731, 123 |
5, 197, 1, 43, 123 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 5 x 197 x 1 x 43 x 123 = 531385830
Therefore, the lowest common multiple of 510,591,102,731,369 is 531385830.
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.
510 x 591 x 102 x 731 x 369 = 8292807262980
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.
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
591 : 1, 3, 197, 591
102 : 1, 2, 3, 6, 17, 34, 51, 102
731 : 1, 17, 43, 731
369 : 1, 3, 9, 41, 123, 369
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 510,591,102,731,369, is 1.
Now, the common factors can be found like this.
510:2x 3x 5x 17
591:3x 197
102:2x 3x 17
731:17x 43
369:3x 3x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 17x 17 = 15606
Therefore, the value for common factors is 15606.
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 = 8292807262980/(1x15606)
LCM = 8292807262980/15606
LCM = 531385830
Thus, we can understand that the LCM of 510,591,102,731,369 is 531385830.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 510, 591, 102, 731, 369?
Answer: LCM of 510, 591, 102, 731, 369 is 531385830.
2. How to calculate the LCM of 510, 591, 102, 731, 369?
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 510, 591, 102, 731, 369.
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}.