Find the LCM of 438, 856, 782, 723, 482 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 438, 856, 782, 723, 482. So, keep reading to learn more.
Given numbers are 438,856,782,723,482
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 438,856,782,723,482 is 17664920184.
Find LCM of 438,856,782,723,482 with Prime Factorization
2 | 438, 856, 782, 723, 482 |
3 | 219, 428, 391, 723, 241 |
241 | 73, 428, 391, 241, 241 |
73, 428, 391, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 241 x 73 x 428 x 391 x 1 x 1 = 17664920184
Therefore, the lowest common multiple of 438,856,782,723,482 is 17664920184.
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.
438 x 856 x 782 x 723 x 482 = 102173898344256
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.
438 : 1, 2, 3, 6, 73, 146, 219, 438
856 : 1, 2, 4, 8, 107, 214, 428, 856
782 : 1, 2, 17, 23, 34, 46, 391, 782
723 : 1, 3, 241, 723
482 : 1, 2, 241, 482
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 438,856,782,723,482, is 1.
Now, the common factors can be found like this.
438:2x 3x 73
856:2x 2x 2x 107
782:2x 17x 23
723:3x 241
482:2x 241
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 241 = 5784
Therefore, the value for common factors is 5784.
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 = 102173898344256/(1x5784)
LCM = 102173898344256/5784
LCM = 17664920184
Thus, we can understand that the LCM of 438,856,782,723,482 is 17664920184.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 438, 856, 782, 723, 482?
Answer: LCM of 438, 856, 782, 723, 482 is 17664920184.
2. How to calculate the LCM of 438, 856, 782, 723, 482?
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 438, 856, 782, 723, 482.
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}.