Find the LCM of 738, 522, 105, 465, 571 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 738, 522, 105, 465, 571. So, keep reading to learn more.
Given numbers are 738,522,105,465,571
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 738,522,105,465,571 is 13259288070.
Find LCM of 738,522,105,465,571 with Prime Factorization
2 | 738, 522, 105, 465, 571 |
3 | 369, 261, 105, 465, 571 |
3 | 123, 87, 35, 155, 571 |
5 | 41, 29, 35, 155, 571 |
41, 29, 7, 31, 571 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 41 x 29 x 7 x 31 x 571 = 13259288070
Therefore, the lowest common multiple of 738,522,105,465,571 is 13259288070.
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.
738 x 522 x 105 x 465 x 571 = 10740023336700
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.
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
105 : 1, 3, 5, 7, 15, 21, 35, 105
465 : 1, 3, 5, 15, 31, 93, 155, 465
571 : 1, 571
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 738,522,105,465,571, is 1.
Now, the common factors can be found like this.
738:2x 3x 3x 41
522:2x 3x 3x 29
105:3x 5x 7
465:3x 5x 31
571:571
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 3x 5 = 810
Therefore, the value for common factors is 810.
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 = 10740023336700/(1x810)
LCM = 10740023336700/810
LCM = 13259288070
Thus, we can understand that the LCM of 738,522,105,465,571 is 13259288070.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 738, 522, 105, 465, 571?
Answer: LCM of 738, 522, 105, 465, 571 is 13259288070.
2. How to calculate the LCM of 738, 522, 105, 465, 571?
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 738, 522, 105, 465, 571.
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}.