Find the LCM of 309, 106, 532, 529, 627 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 309, 106, 532, 529, 627. So, keep reading to learn more.
Given numbers are 309,106,532,529,627
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 309,106,532,529,627 is 50698409916.
Find LCM of 309,106,532,529,627 with Prime Factorization
2 | 309, 106, 532, 529, 627 |
3 | 309, 53, 266, 529, 627 |
19 | 103, 53, 266, 529, 209 |
103, 53, 14, 529, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 103 x 53 x 14 x 529 x 11 = 50698409916
Therefore, the lowest common multiple of 309,106,532,529,627 is 50698409916.
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.
309 x 106 x 532 x 529 x 627 = 5779618730424
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.
309 : 1, 3, 103, 309
106 : 1, 2, 53, 106
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
529 : 1, 23, 529
627 : 1, 3, 11, 19, 33, 57, 209, 627
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,106,532,529,627, is 1.
Now, the common factors can be found like this.
309:3x 103
106:2x 53
532:2x 2x 7x 19
529:23x 23
627:3x 11x 19
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 19 = 114
Therefore, the value for common factors is 114.
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 = 5779618730424/(1x114)
LCM = 5779618730424/114
LCM = 50698409916
Thus, we can understand that the LCM of 309,106,532,529,627 is 50698409916.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 309, 106, 532, 529, 627?
Answer: LCM of 309, 106, 532, 529, 627 is 50698409916.
2. How to calculate the LCM of 309, 106, 532, 529, 627?
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 309, 106, 532, 529, 627.
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}.