Find the LCM of 582, 278, 696, 721 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 582, 278, 696, 721. So, keep reading to learn more.
Given numbers are 582,278,696,721
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 582,278,696,721 is 6765985128.
Find LCM of 582,278,696,721 with Prime Factorization
2 | 582, 278, 696, 721 |
3 | 291, 139, 348, 721 |
97, 139, 116, 721 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 97 x 139 x 116 x 721 = 6765985128
Therefore, the lowest common multiple of 582,278,696,721 is 6765985128.
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.
582 x 278 x 696 x 721 = 81191821536
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.
582 : 1, 2, 3, 6, 97, 194, 291, 582
278 : 1, 2, 139, 278
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
721 : 1, 7, 103, 721
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 582,278,696,721, is 1.
Now, the common factors can be found like this.
582:2x 3x 97
278:2x 139
696:2x 2x 2x 3x 29
721:7x 103
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 3 = 12
Therefore, the value for common factors is 12.
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 = 81191821536/(1x12)
LCM = 81191821536/12
LCM = 6765985128
Thus, we can understand that the LCM of 582,278,696,721 is 6765985128.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 582, 278, 696, 721?
Answer: LCM of 582, 278, 696, 721 is 6765985128.
2. How to calculate the LCM of 582, 278, 696, 721?
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 582, 278, 696, 721.
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}.