Find the LCM of 772, 388, 532, 380, 323 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 772, 388, 532, 380, 323. So, keep reading to learn more.
Given numbers are 772,388,532,380,323
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 772,388,532,380,323 is 846563620.
Find LCM of 772,388,532,380,323 with Prime Factorization
2 | 772, 388, 532, 380, 323 |
2 | 386, 194, 266, 190, 323 |
19 | 193, 97, 133, 95, 323 |
193, 97, 7, 5, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 19 x 193 x 97 x 7 x 5 x 17 = 846563620
Therefore, the lowest common multiple of 772,388,532,380,323 is 846563620.
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.
772 x 388 x 532 x 380 x 323 = 19559005876480
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.
772 : 1, 2, 4, 193, 386, 772
388 : 1, 2, 4, 97, 194, 388
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
323 : 1, 17, 19, 323
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 772,388,532,380,323, is 1.
Now, the common factors can be found like this.
772:2x 2x 193
388:2x 2x 97
532:2x 2x 7x 19
380:2x 2x 5x 19
323:17x 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 2x 2x 2x 2x 2x 19x 19 = 23104
Therefore, the value for common factors is 23104.
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 = 19559005876480/(1x23104)
LCM = 19559005876480/23104
LCM = 846563620
Thus, we can understand that the LCM of 772,388,532,380,323 is 846563620.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 772, 388, 532, 380, 323?
Answer: LCM of 772, 388, 532, 380, 323 is 846563620.
2. How to calculate the LCM of 772, 388, 532, 380, 323?
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 772, 388, 532, 380, 323.
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}.