Find the LCM of 719, 453, 993, 996, 813 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 719, 453, 993, 996, 813. So, keep reading to learn more.
Given numbers are 719,453,993,996,813
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 719,453,993,996,813 is 9699792877524.
Find LCM of 719,453,993,996,813 with Prime Factorization
3 | 719, 453, 993, 996, 813 |
719, 151, 331, 332, 271 |
Multiply the prime numbers at the bottom and the left side.
3 x 719 x 151 x 331 x 332 x 271 = 9699792877524
Therefore, the lowest common multiple of 719,453,993,996,813 is 9699792877524.
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.
719 x 453 x 993 x 996 x 813 = 261894407693148
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.
719 : 1, 719
453 : 1, 3, 151, 453
993 : 1, 3, 331, 993
996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
813 : 1, 3, 271, 813
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 719,453,993,996,813, is 1.
Now, the common factors can be found like this.
719:719
453:3x 151
993:3x 331
996:2x 2x 3x 83
813:3x 271
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3 = 27
Therefore, the value for common factors is 27.
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 = 261894407693148/(1x27)
LCM = 261894407693148/27
LCM = 9699792877524
Thus, we can understand that the LCM of 719,453,993,996,813 is 9699792877524.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 719, 453, 993, 996, 813?
Answer: LCM of 719, 453, 993, 996, 813 is 9699792877524.
2. How to calculate the LCM of 719, 453, 993, 996, 813?
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 719, 453, 993, 996, 813.
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}.