Find the LCM of 796, 190, 329, 266, 982 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 796, 190, 329, 266, 982. So, keep reading to learn more.
Given numbers are 796,190,329,266,982
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 796,190,329,266,982 is 12215579180.
Find LCM of 796,190,329,266,982 with Prime Factorization
2 | 796, 190, 329, 266, 982 |
7 | 398, 95, 329, 133, 491 |
19 | 398, 95, 47, 19, 491 |
398, 5, 47, 1, 491 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 19 x 398 x 5 x 47 x 1 x 491 = 12215579180
Therefore, the lowest common multiple of 796,190,329,266,982 is 12215579180.
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.
796 x 190 x 329 x 266 x 982 = 12997376247520
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.
796 : 1, 2, 4, 199, 398, 796
190 : 1, 2, 5, 10, 19, 38, 95, 190
329 : 1, 7, 47, 329
266 : 1, 2, 7, 14, 19, 38, 133, 266
982 : 1, 2, 491, 982
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 796,190,329,266,982, is 1.
Now, the common factors can be found like this.
796:2x 2x 199
190:2x 5x 19
329:7x 47
266:2x 7x 19
982:2x 491
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 7x 19 = 1064
Therefore, the value for common factors is 1064.
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 = 12997376247520/(1x1064)
LCM = 12997376247520/1064
LCM = 12215579180
Thus, we can understand that the LCM of 796,190,329,266,982 is 12215579180.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 796, 190, 329, 266, 982?
Answer: LCM of 796, 190, 329, 266, 982 is 12215579180.
2. How to calculate the LCM of 796, 190, 329, 266, 982?
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 796, 190, 329, 266, 982.
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}.