Find the LCM of 796, 530, 915, 486, 974 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, 530, 915, 486, 974. So, keep reading to learn more.
Given numbers are 796,530,915,486,974
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 796,530,915,486,974 is 1522733882940.
Find LCM of 796,530,915,486,974 with Prime Factorization
2 | 796, 530, 915, 486, 974 |
3 | 398, 265, 915, 243, 487 |
5 | 398, 265, 305, 81, 487 |
398, 53, 61, 81, 487 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 398 x 53 x 61 x 81 x 487 = 1522733882940
Therefore, the lowest common multiple of 796,530,915,486,974 is 1522733882940.
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 530 x 915 x 486 x 974 = 182728065952800
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
530 : 1, 2, 5, 10, 53, 106, 265, 530
915 : 1, 3, 5, 15, 61, 183, 305, 915
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
974 : 1, 2, 487, 974
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 796,530,915,486,974, is 1.
Now, the common factors can be found like this.
796:2x 2x 199
530:2x 5x 53
915:3x 5x 61
486:2x 3x 3x 3x 3x 3
974:2x 487
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 3x 5 = 120
Therefore, the value for common factors is 120.
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 = 182728065952800/(1x120)
LCM = 182728065952800/120
LCM = 1522733882940
Thus, we can understand that the LCM of 796,530,915,486,974 is 1522733882940.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 796, 530, 915, 486, 974?
Answer: LCM of 796, 530, 915, 486, 974 is 1522733882940.
2. How to calculate the LCM of 796, 530, 915, 486, 974?
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, 530, 915, 486, 974.
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}.