Find the LCM of 284, 582, 796, 327, 303 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 284, 582, 796, 327, 303. So, keep reading to learn more.
Given numbers are 284,582,796,327,303
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 284,582,796,327,303 is 181055731404.
Find LCM of 284,582,796,327,303 with Prime Factorization
2 | 284, 582, 796, 327, 303 |
2 | 142, 291, 398, 327, 303 |
3 | 71, 291, 199, 327, 303 |
71, 97, 199, 109, 101 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 71 x 97 x 199 x 109 x 101 = 181055731404
Therefore, the lowest common multiple of 284,582,796,327,303 is 181055731404.
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.
284 x 582 x 796 x 327 x 303 = 13036012661088
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.
284 : 1, 2, 4, 71, 142, 284
582 : 1, 2, 3, 6, 97, 194, 291, 582
796 : 1, 2, 4, 199, 398, 796
327 : 1, 3, 109, 327
303 : 1, 3, 101, 303
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 284,582,796,327,303, is 1.
Now, the common factors can be found like this.
284:2x 2x 71
582:2x 3x 97
796:2x 2x 199
327:3x 109
303:3x 101
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 3 = 72
Therefore, the value for common factors is 72.
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 = 13036012661088/(1x72)
LCM = 13036012661088/72
LCM = 181055731404
Thus, we can understand that the LCM of 284,582,796,327,303 is 181055731404.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 284, 582, 796, 327, 303?
Answer: LCM of 284, 582, 796, 327, 303 is 181055731404.
2. How to calculate the LCM of 284, 582, 796, 327, 303?
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 284, 582, 796, 327, 303.
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}.