Find the LCM of 748, 476, 780, 476, 393 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 748, 476, 780, 476, 393. So, keep reading to learn more.
Given numbers are 748,476,780,476,393
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 748,476,780,476,393 is 133753620.
Find LCM of 748,476,780,476,393 with Prime Factorization
2 | 748, 476, 780, 476, 393 |
2 | 374, 238, 390, 238, 393 |
3 | 187, 119, 195, 119, 393 |
7 | 187, 119, 65, 119, 131 |
17 | 187, 17, 65, 17, 131 |
11, 1, 65, 1, 131 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 17 x 11 x 1 x 65 x 1 x 131 = 133753620
Therefore, the lowest common multiple of 748,476,780,476,393 is 133753620.
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.
748 x 476 x 780 x 476 x 393 = 51952046065920
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.
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
393 : 1, 3, 131, 393
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,476,780,476,393, is 1.
Now, the common factors can be found like this.
748:2x 2x 11x 17
476:2x 2x 7x 17
780:2x 2x 3x 5x 13
476:2x 2x 7x 17
393:3x 131
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 2x 2x 3x 7x 17x 17 = 388416
Therefore, the value for common factors is 388416.
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 = 51952046065920/(1x388416)
LCM = 51952046065920/388416
LCM = 133753620
Thus, we can understand that the LCM of 748,476,780,476,393 is 133753620.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 748, 476, 780, 476, 393?
Answer: LCM of 748, 476, 780, 476, 393 is 133753620.
2. How to calculate the LCM of 748, 476, 780, 476, 393?
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 748, 476, 780, 476, 393.
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}.