Find the LCM of 394, 748, 704, 579, 646 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 394, 748, 704, 579, 646. So, keep reading to learn more.
Given numbers are 394,748,704,579,646
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 394,748,704,579,646 is 25937013696.
Find LCM of 394,748,704,579,646 with Prime Factorization
2 | 394, 748, 704, 579, 646 |
2 | 197, 374, 352, 579, 323 |
11 | 197, 187, 176, 579, 323 |
17 | 197, 17, 16, 579, 323 |
197, 1, 16, 579, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 17 x 197 x 1 x 16 x 579 x 19 = 25937013696
Therefore, the lowest common multiple of 394,748,704,579,646 is 25937013696.
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.
394 x 748 x 704 x 579 x 646 = 77603544978432
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.
394 : 1, 2, 197, 394
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
579 : 1, 3, 193, 579
646 : 1, 2, 17, 19, 34, 38, 323, 646
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 394,748,704,579,646, is 1.
Now, the common factors can be found like this.
394:2x 197
748:2x 2x 11x 17
704:2x 2x 2x 2x 2x 2x 11
579:3x 193
646:2x 17x 19
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 11x 17 = 2992
Therefore, the value for common factors is 2992.
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 = 77603544978432/(1x2992)
LCM = 77603544978432/2992
LCM = 25937013696
Thus, we can understand that the LCM of 394,748,704,579,646 is 25937013696.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 394, 748, 704, 579, 646?
Answer: LCM of 394, 748, 704, 579, 646 is 25937013696.
2. How to calculate the LCM of 394, 748, 704, 579, 646?
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 394, 748, 704, 579, 646.
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}.