Find the LCM of 637, 405, 585, 644, 716 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 637, 405, 585, 644, 716. So, keep reading to learn more.
Given numbers are 637,405,585,644,716
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 637,405,585,644,716 is 4248496980.
Find LCM of 637,405,585,644,716 with Prime Factorization
2 | 637, 405, 585, 644, 716 |
2 | 637, 405, 585, 322, 358 |
3 | 637, 405, 585, 161, 179 |
3 | 637, 135, 195, 161, 179 |
5 | 637, 45, 65, 161, 179 |
7 | 637, 9, 13, 161, 179 |
13 | 91, 9, 13, 23, 179 |
7, 9, 1, 23, 179 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 7 x 13 x 7 x 9 x 1 x 23 x 179 = 4248496980
Therefore, the lowest common multiple of 637,405,585,644,716 is 4248496980.
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.
637 x 405 x 585 x 644 x 716 = 69590380532400
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.
637 : 1, 7, 13, 49, 91, 637
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
716 : 1, 2, 4, 179, 358, 716
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 637,405,585,644,716, is 1.
Now, the common factors can be found like this.
637:7x 7x 13
405:3x 3x 3x 3x 5
585:3x 3x 5x 13
644:2x 2x 7x 23
716:2x 2x 179
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 3x 3x 5x 7x 13 = 16380
Therefore, the value for common factors is 16380.
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 = 69590380532400/(1x16380)
LCM = 69590380532400/16380
LCM = 4248496980
Thus, we can understand that the LCM of 637,405,585,644,716 is 4248496980.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 637, 405, 585, 644, 716?
Answer: LCM of 637, 405, 585, 644, 716 is 4248496980.
2. How to calculate the LCM of 637, 405, 585, 644, 716?
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 637, 405, 585, 644, 716.
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}.