Find the LCM of 443, 702, 592, 323, 607 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 443, 702, 592, 323, 607. So, keep reading to learn more.
Given numbers are 443,702,592,323,607
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 443,702,592,323,607 is 18047778939216.
Find LCM of 443,702,592,323,607 with Prime Factorization
2 | 443, 702, 592, 323, 607 |
443, 351, 296, 323, 607 |
Multiply the prime numbers at the bottom and the left side.
2 x 443 x 351 x 296 x 323 x 607 = 18047778939216
Therefore, the lowest common multiple of 443,702,592,323,607 is 18047778939216.
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.
443 x 702 x 592 x 323 x 607 = 36095557878432
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.
443 : 1, 443
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
323 : 1, 17, 19, 323
607 : 1, 607
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 443,702,592,323,607, is 1.
Now, the common factors can be found like this.
443:443
702:2x 3x 3x 3x 13
592:2x 2x 2x 2x 37
323:17x 19
607:607
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 36095557878432/(1x2)
LCM = 36095557878432/2
LCM = 18047778939216
Thus, we can understand that the LCM of 443,702,592,323,607 is 18047778939216.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 443, 702, 592, 323, 607?
Answer: LCM of 443, 702, 592, 323, 607 is 18047778939216.
2. How to calculate the LCM of 443, 702, 592, 323, 607?
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 443, 702, 592, 323, 607.
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}.