Find the LCM of 341, 748, 416, 780 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 341, 748, 416, 780. So, keep reading to learn more.
Given numbers are 341,748,416,780
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 341,748,416,780 is 36173280.
Find LCM of 341,748,416,780 with Prime Factorization
2 | 341, 748, 416, 780 |
2 | 341, 374, 208, 390 |
11 | 341, 187, 104, 195 |
13 | 31, 17, 104, 195 |
31, 17, 8, 15 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 13 x 31 x 17 x 8 x 15 = 36173280
Therefore, the lowest common multiple of 341,748,416,780 is 36173280.
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.
341 x 748 x 416 x 780 = 82764464640
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.
341 : 1, 11, 31, 341
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 341,748,416,780, is 1.
Now, the common factors can be found like this.
341:11x 31
748:2x 2x 11x 17
416:2x 2x 2x 2x 2x 13
780:2x 2x 3x 5x 13
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 13 = 2288
Therefore, the value for common factors is 2288.
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 = 82764464640/(1x2288)
LCM = 82764464640/2288
LCM = 36173280
Thus, we can understand that the LCM of 341,748,416,780 is 36173280.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 341, 748, 416, 780?
Answer: LCM of 341, 748, 416, 780 is 36173280.
2. How to calculate the LCM of 341, 748, 416, 780?
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 341, 748, 416, 780.
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}.