Find the LCM of 794, 815, 945, 782, 996 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 794, 815, 945, 782, 996. So, keep reading to learn more.
Given numbers are 794,815,945,782,996
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 794,815,945,782,996 is 7938249793740.
Find LCM of 794,815,945,782,996 with Prime Factorization
2 | 794, 815, 945, 782, 996 |
3 | 397, 815, 945, 391, 498 |
5 | 397, 815, 315, 391, 166 |
397, 163, 63, 391, 166 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 397 x 163 x 63 x 391 x 166 = 7938249793740
Therefore, the lowest common multiple of 794,815,945,782,996 is 7938249793740.
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.
794 x 815 x 945 x 782 x 996 = 476294987624400
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.
794 : 1, 2, 397, 794
815 : 1, 5, 163, 815
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
782 : 1, 2, 17, 23, 34, 46, 391, 782
996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 794,815,945,782,996, is 1.
Now, the common factors can be found like this.
794:2x 397
815:5x 163
945:3x 3x 3x 5x 7
782:2x 17x 23
996:2x 2x 3x 83
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 5 = 60
Therefore, the value for common factors is 60.
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 = 476294987624400/(1x60)
LCM = 476294987624400/60
LCM = 7938249793740
Thus, we can understand that the LCM of 794,815,945,782,996 is 7938249793740.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 794, 815, 945, 782, 996?
Answer: LCM of 794, 815, 945, 782, 996 is 7938249793740.
2. How to calculate the LCM of 794, 815, 945, 782, 996?
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 794, 815, 945, 782, 996.
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}.