Find the LCM of 322, 920, 666, 796, 481 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 322, 920, 666, 796, 481. So, keep reading to learn more.
Given numbers are 322,920,666,796,481
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 322,920,666,796,481 is 5547873240.
Find LCM of 322,920,666,796,481 with Prime Factorization
2 | 322, 920, 666, 796, 481 |
2 | 161, 460, 333, 398, 481 |
23 | 161, 230, 333, 199, 481 |
37 | 7, 10, 333, 199, 481 |
7, 10, 9, 199, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 23 x 37 x 7 x 10 x 9 x 199 x 13 = 5547873240
Therefore, the lowest common multiple of 322,920,666,796,481 is 5547873240.
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.
322 x 920 x 666 x 796 x 481 = 75539842035840
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.
322 : 1, 2, 7, 14, 23, 46, 161, 322
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
666 : 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
796 : 1, 2, 4, 199, 398, 796
481 : 1, 13, 37, 481
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 322,920,666,796,481, is 1.
Now, the common factors can be found like this.
322:2x 7x 23
920:2x 2x 2x 5x 23
666:2x 3x 3x 37
796:2x 2x 199
481:13x 37
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 2x 23x 37 = 13616
Therefore, the value for common factors is 13616.
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 = 75539842035840/(1x13616)
LCM = 75539842035840/13616
LCM = 5547873240
Thus, we can understand that the LCM of 322,920,666,796,481 is 5547873240.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 322, 920, 666, 796, 481?
Answer: LCM of 322, 920, 666, 796, 481 is 5547873240.
2. How to calculate the LCM of 322, 920, 666, 796, 481?
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 322, 920, 666, 796, 481.
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}.